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2026-01-01
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>The numbers that have only two factors, which are 1 and itself, are called prime numbers. For encryption, computer algorithms, and barcode generation, prime numbers are used. In this topic, we will be discussing whether 998 is a prime number or not.</p>
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<p>The numbers that have only two factors, which are 1 and itself, are called prime numbers. For encryption, computer algorithms, and barcode generation, prime numbers are used. In this topic, we will be discussing whether 998 is a prime number or not.</p>
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<h2>Is 998 a Prime Number?</h2>
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<h2>Is 998 a Prime Number?</h2>
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<p>There are two<a>types of numbers</a>, mostly -<a>prime numbers</a>and<a>composite numbers</a>, depending on the number of<a>factors</a>.</p>
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<p>There are two<a>types of numbers</a>, mostly -<a>prime numbers</a>and<a>composite numbers</a>, depending on the number of<a>factors</a>.</p>
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<p>A prime number is a<a>natural number</a>that is divisible only by 1 and itself. For example, 3 is a prime number because it is divisible by 1 and itself.</p>
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<p>A prime number is a<a>natural number</a>that is divisible only by 1 and itself. For example, 3 is a prime number because it is divisible by 1 and itself.</p>
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<p>A composite number is a positive number that is divisible by more than two numbers. For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.</p>
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<p>A composite number is a positive number that is divisible by more than two numbers. For example, 6 is divisible by 1, 2, 3, and 6, making it a composite number.</p>
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<p>Prime numbers follow a few properties like:</p>
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<p>Prime numbers follow a few properties like:</p>
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<p>Prime numbers are positive numbers always<a>greater than</a>1.</p>
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<p>Prime numbers are positive numbers always<a>greater than</a>1.</p>
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<p>2 is the only even prime number.</p>
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<p>2 is the only even prime number.</p>
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<p>They have only two factors: 1 and the number itself.</p>
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<p>They have only two factors: 1 and the number itself.</p>
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<p>Any two distinct prime numbers are<a>co-prime numbers</a>because they have only one common factor, which is 1. As 998 has more than two factors, it is not a prime number.</p>
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<p>Any two distinct prime numbers are<a>co-prime numbers</a>because they have only one common factor, which is 1. As 998 has more than two factors, it is not a prime number.</p>
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<h2>Why is 998 Not a Prime Number?</h2>
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<h2>Why is 998 Not a Prime Number?</h2>
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<p>The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 998 has more than two factors, it is not a prime number. A few methods are used to distinguish between prime and composite numbers:</p>
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<p>The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 998 has more than two factors, it is not a prime number. A few methods are used to distinguish between prime and composite numbers:</p>
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<ul><li>Counting Divisors Method</li>
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<ul><li>Counting Divisors Method</li>
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</ul><ul><li>Divisibility Test</li>
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</ul><ul><li>Divisibility Test</li>
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</ul><ul><li>Prime Number Chart</li>
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</ul><ul><li>Prime Number Chart</li>
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</ul><ul><li>Prime Factorization</li>
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</ul><ul><li>Prime Factorization</li>
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</ul><h3>Using the Counting Divisors Method</h3>
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</ul><h3>Using the Counting Divisors Method</h3>
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<p>The method in which we count the number of divisors to categorize numbers as prime or composite is called the counting divisors method. Based on the count of the divisors, we categorize prime and composite numbers.</p>
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<p>The method in which we count the number of divisors to categorize numbers as prime or composite is called the counting divisors method. Based on the count of the divisors, we categorize prime and composite numbers.</p>
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<p>If there is a total count of only 2 divisors, then the number would be prime.</p>
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<p>If there is a total count of only 2 divisors, then the number would be prime.</p>
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<p>If the count is more than 2, then the number is composite. Let’s check whether 998 is prime or composite.</p>
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<p>If the count is more than 2, then the number is composite. Let’s check whether 998 is prime or composite.</p>
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<p><strong>Step 1:</strong>All numbers are divisible by 1 and itself.</p>
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<p><strong>Step 1:</strong>All numbers are divisible by 1 and itself.</p>
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<p><strong>Step 2:</strong>Divide 998 by 2. It is divisible by 2, so 2 is a factor of 998.</p>
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<p><strong>Step 2:</strong>Divide 998 by 2. It is divisible by 2, so 2 is a factor of 998.</p>
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<p><strong>Step 3:</strong>Divide 998 by 3. It is not divisible by 3, so 3 is not a factor of 998.</p>
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<p><strong>Step 3:</strong>Divide 998 by 3. It is not divisible by 3, so 3 is not a factor of 998.</p>
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<p><strong>Step 4:</strong>You can simplify checking divisors up to the<a>square</a>root of 998, which is approximately 31.6. We then need to only check divisors up to this value.</p>
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<p><strong>Step 4:</strong>You can simplify checking divisors up to the<a>square</a>root of 998, which is approximately 31.6. We then need to only check divisors up to this value.</p>
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<p><strong>Step 5:</strong>When we divide 998 by numbers like 2, 499, and others up to 31.6, we find that it has factors in<a>addition</a>to 1 and itself. Since 998 has more than 2 divisors, it is a composite number.</p>
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<p><strong>Step 5:</strong>When we divide 998 by numbers like 2, 499, and others up to 31.6, we find that it has factors in<a>addition</a>to 1 and itself. Since 998 has more than 2 divisors, it is a composite number.</p>
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<h3>Using the Divisibility Test Method</h3>
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<h3>Using the Divisibility Test Method</h3>
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<p>We use a<a>set</a><a>of rules</a>to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method.</p>
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<p>We use a<a>set</a><a>of rules</a>to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method.</p>
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<p><strong>Divisibility by 2:</strong>The number in the ones' place is 8, an<a>even number</a>, which means that 998 is divisible by 2.</p>
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<p><strong>Divisibility by 2:</strong>The number in the ones' place is 8, an<a>even number</a>, which means that 998 is divisible by 2.</p>
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<p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits in the number 998 is 26. Since 26 is not divisible by 3, 998 is also not divisible by 3.</p>
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<p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits in the number 998 is 26. Since 26 is not divisible by 3, 998 is also not divisible by 3.</p>
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<p><strong>Divisibility by 5:</strong>The unit’s place digit is 8. Therefore, 998 is not divisible by 5.</p>
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<p><strong>Divisibility by 5:</strong>The unit’s place digit is 8. Therefore, 998 is not divisible by 5.</p>
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<p><strong>Divisibility by 7:</strong>The number 998 is not divisible by 7 as it doesn't meet the<a>divisibility rule</a>for 7.</p>
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<p><strong>Divisibility by 7:</strong>The number 998 is not divisible by 7 as it doesn't meet the<a>divisibility rule</a>for 7.</p>
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<p><strong>Divisibility by 11:</strong>In 998, the difference between the sum of the digits in odd positions and even positions is 8. This means that 998 is not divisible by 11. Since 998 is divisible by 2 and other numbers, it has more than two factors.</p>
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<p><strong>Divisibility by 11:</strong>In 998, the difference between the sum of the digits in odd positions and even positions is 8. This means that 998 is not divisible by 11. Since 998 is divisible by 2 and other numbers, it has more than two factors.</p>
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<p>Therefore, it is a composite number.</p>
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<p>Therefore, it is a composite number.</p>
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<h3>Using Prime Number Chart</h3>
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<h3>Using Prime Number Chart</h3>
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<p>The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow these steps:</p>
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<p>The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow these steps:</p>
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<p><strong>Step 1:</strong>Write numbers up to a certain limit in rows and columns.</p>
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<p><strong>Step 1:</strong>Write numbers up to a certain limit in rows and columns.</p>
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<p><strong>Step 2:</strong>Leave 1 without marking, as it is neither prime nor composite.</p>
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<p><strong>Step 2:</strong>Leave 1 without marking, as it is neither prime nor composite.</p>
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<p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all<a>multiples</a>of 2.</p>
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<p><strong>Step 3:</strong>Mark 2 because it is a prime number and cross out all<a>multiples</a>of 2.</p>
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<p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all multiples of 3.</p>
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<p><strong>Step 4:</strong>Mark 3 because it is a prime number and cross out all multiples of 3.</p>
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<p><strong>Step 5:</strong>Repeat this process with the next unmarked number until you have marked or crossed all numbers up to your limit. Through this process, we will have a list of prime numbers. 998 is not present in the list of prime numbers, so it is a composite number.</p>
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<p><strong>Step 5:</strong>Repeat this process with the next unmarked number until you have marked or crossed all numbers up to your limit. Through this process, we will have a list of prime numbers. 998 is not present in the list of prime numbers, so it is a composite number.</p>
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<h3>Using the Prime Factorization Method</h3>
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<h3>Using the Prime Factorization Method</h3>
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<p>Prime factorization is the process of breaking down a number into its<a>prime factors</a>. Then multiply those factors to obtain the original number.</p>
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<p>Prime factorization is the process of breaking down a number into its<a>prime factors</a>. Then multiply those factors to obtain the original number.</p>
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<p><strong>Step 1:</strong>We can write 998 as 2 × 499.</p>
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<p><strong>Step 1:</strong>We can write 998 as 2 × 499.</p>
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<p><strong>Step 2:</strong>Both 2 and 499 are prime numbers.</p>
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<p><strong>Step 2:</strong>Both 2 and 499 are prime numbers.</p>
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<p><strong>Step 3:</strong>Since the factorization includes more than one number, 998 is a composite number.</p>
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<p><strong>Step 3:</strong>Since the factorization includes more than one number, 998 is a composite number.</p>
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<h2>Common Mistakes to Avoid When Determining if 998 is Not a Prime Number</h2>
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<h2>Common Mistakes to Avoid When Determining if 998 is Not a Prime Number</h2>
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<p>Children might have some misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made by children.</p>
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<p>Children might have some misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made by children.</p>
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<h2>FAQ on is 998 a Prime Number?</h2>
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<h2>FAQ on is 998 a Prime Number?</h2>
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<h3>1.Is 998 a perfect square?</h3>
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<h3>1.Is 998 a perfect square?</h3>
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<h3>2.What is the sum of the divisors of 998?</h3>
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<h3>2.What is the sum of the divisors of 998?</h3>
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<p>The sum of the divisors of 998 is 1500.</p>
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<p>The sum of the divisors of 998 is 1500.</p>
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<h3>3.What are the factors of 998?</h3>
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<h3>3.What are the factors of 998?</h3>
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<p>998 is divisible by 1, 2, 499, and 998, making these numbers the factors.</p>
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<p>998 is divisible by 1, 2, 499, and 998, making these numbers the factors.</p>
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<h3>4.What are the closest prime numbers to 998?</h3>
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<h3>4.What are the closest prime numbers to 998?</h3>
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<p>The closest prime numbers to 998 are 997 and 1009.</p>
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<p>The closest prime numbers to 998 are 997 and 1009.</p>
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<h3>5.What is the prime factorization of 998?</h3>
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<h3>5.What is the prime factorization of 998?</h3>
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<p>The prime factorization of 998 is 2 × 499.</p>
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<p>The prime factorization of 998 is 2 × 499.</p>
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<h2>Important Glossaries for "Is 998 a Prime Number"</h2>
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<h2>Important Glossaries for "Is 998 a Prime Number"</h2>
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<ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 998 is a composite number because it is divisible by 1, 2, 499, and 998.</li>
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<ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that are divisible by more than 2 numbers are called composite numbers. For example, 998 is a composite number because it is divisible by 1, 2, 499, and 998.</li>
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</ul><ul><li><strong>Prime numbers:</strong>Natural numbers greater than 1 that are divisible only by 1 and themselves. For example, 3 is a prime number.</li>
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</ul><ul><li><strong>Prime numbers:</strong>Natural numbers greater than 1 that are divisible only by 1 and themselves. For example, 3 is a prime number.</li>
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</ul><ul><li><strong>Divisibility rules:</strong>A set of guidelines that help determine if a number is divisible by another number without performing the actual division.</li>
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</ul><ul><li><strong>Divisibility rules:</strong>A set of guidelines that help determine if a number is divisible by another number without performing the actual division.</li>
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</ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. For example, the prime factorization of 998 is 2 × 499.</li>
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</ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. For example, the prime factorization of 998 is 2 × 499.</li>
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</ul><ul><li><strong>Sieve of Eratosthenes:</strong>An ancient algorithm used to find all primes up to a specified integer.</li>
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</ul><ul><li><strong>Sieve of Eratosthenes:</strong>An ancient algorithm used to find all primes up to a specified integer.</li>
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</ul><p>What Are Prime Numbers? 🔢✨ | Easy Tricks & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Are Prime Numbers? 🔢✨ | Easy Tricks & 🎯 Fun Learning for Kids | ✨BrightCHAMPS Math</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h2>Hiralee Lalitkumar Makwana</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>
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<p>: She loves to read number jokes and games.</p>