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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>Prime numbers are those that have only two distinct factors: 1 and itself. They play a crucial role in fields like encryption, computer algorithms, and barcode generation. In this topic, we will explore whether 987 is a prime number or not.</p>
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<p>Prime numbers are those that have only two distinct factors: 1 and itself. They play a crucial role in fields like encryption, computer algorithms, and barcode generation. In this topic, we will explore whether 987 is a prime number or not.</p>
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<h2>Is 987 a Prime Number?</h2>
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<h2>Is 987 a Prime Number?</h2>
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<p>Numbers can be classified as either prime or composite, based on their<a>number</a><a>of</a><a>factors</a>.</p>
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<p>Numbers can be classified as either prime or composite, based on their<a>number</a><a>of</a><a>factors</a>.</p>
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<p>A<a>prime number</a>is a<a>natural number</a><a>greater than</a>1 that is divisible only by 1 and itself. For example, 3 is a prime number because it has exactly two divisors: 1 and 3.</p>
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<p>A<a>prime number</a>is a<a>natural number</a><a>greater than</a>1 that is divisible only by 1 and itself. For example, 3 is a prime number because it has exactly two divisors: 1 and 3.</p>
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<p>A<a>composite number</a>is a natural number that has more than two factors. For instance, 6 is a composite number because it is divisible by 1, 2, 3, and 6.</p>
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<p>A<a>composite number</a>is a natural number that has more than two factors. For instance, 6 is a composite number because it is divisible by 1, 2, 3, and 6.</p>
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<p>Properties of prime numbers include:</p>
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<p>Properties of prime numbers include:</p>
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<p>- Prime numbers are always greater than 1</p>
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<p>- Prime numbers are always greater than 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 exactly two factors: 1 and the number itself.</p>
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<p>- They have exactly two factors: 1 and the number itself.</p>
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<p>- Any two distinct prime numbers are co-prime because they share only one common factor: 1.</p>
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<p>- Any two distinct prime numbers are co-prime because they share only one common factor: 1.</p>
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<p><strong>Since 987 has more than two factors, it is not a prime number.</strong></p>
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<p><strong>Since 987 has more than two factors, it is not a prime number.</strong></p>
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<h2>Why is 987 Not a Prime Number?</h2>
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<h2>Why is 987 Not a Prime Number?</h2>
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<p>The defining characteristic of a prime number is that it has only two divisors: 1 and itself. Since 987 has more than two factors, it is not a prime number. Several methods can be used to determine whether a number is prime or composite, including:</p>
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<p>The defining characteristic of a prime number is that it has only two divisors: 1 and itself. Since 987 has more than two factors, it is not a prime number. Several methods can be used to determine whether a number is prime or composite, including:</p>
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<p>- Counting Divisors Method </p>
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<p>- Counting Divisors Method </p>
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<p>- Divisibility Test </p>
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<p>- Divisibility Test </p>
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<p>- Prime Number Chart </p>
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<p>- Prime Number Chart </p>
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<p>- Prime Factorization</p>
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<p>- Prime Factorization</p>
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<h3>Using the Counting Divisors Method</h3>
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<h3>Using the Counting Divisors Method</h3>
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<p>The counting divisors method involves counting the number of divisors to categorize numbers as prime or composite. Based on the number of divisors:</p>
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<p>The counting divisors method involves counting the number of divisors to categorize numbers as prime or composite. Based on the number of divisors:</p>
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<p>- If a number has exactly 2 divisors, it is prime.</p>
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<p>- If a number has exactly 2 divisors, it is prime.</p>
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<p>- If it has more than 2 divisors, it is composite. Let’s check whether 987 is prime or composite.</p>
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<p>- If it has more than 2 divisors, it is composite. Let’s check whether 987 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 987 by 2, 3, 4, and so on up to the<a>square</a>root of 987.</p>
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<p><strong>Step 2:</strong>Divide 987 by 2, 3, 4, and so on up to the<a>square</a>root of 987.</p>
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<p><strong>Step 3:</strong>987 is divisible by 3 (987 ÷ 3 = 329), so 3 is a factor of 987.</p>
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<p><strong>Step 3:</strong>987 is divisible by 3 (987 ÷ 3 = 329), so 3 is a factor of 987.</p>
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<p><strong>Since 987 has more than 2 divisors, it is a composite number.</strong></p>
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<p><strong>Since 987 has more than 2 divisors, it is a composite number.</strong></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>The divisibility test method involves using a<a>set</a>of rules to check if a number is divisible by another number without a<a>remainder</a>. Here are some tests:</p>
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<p>The divisibility test method involves using a<a>set</a>of rules to check if a number is divisible by another number without a<a>remainder</a>. Here are some tests:</p>
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<p><strong>Divisibility by 2:</strong>987 is odd, so it is not divisible by 2.</p>
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<p><strong>Divisibility by 2:</strong>987 is odd, so it is not divisible by 2.</p>
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<p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits is 24 (9 + 8 + 7 = 24), which is divisible by 3. Hence, 987 is divisible by 3.</p>
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<p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits is 24 (9 + 8 + 7 = 24), which is divisible by 3. Hence, 987 is divisible by 3.</p>
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<p><strong>Divisibility by 5:</strong>The last digit is 7, so 987 is not divisible by 5.</p>
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<p><strong>Divisibility by 5:</strong>The last digit is 7, so 987 is not divisible by 5.</p>
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<p><strong>Divisibility by 7:</strong>Double the last digit (7 × 2 = 14), subtract it from the rest of the number (98 - 14 = 84), and since 84 is divisible by 7, 987 is divisible by 7.</p>
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<p><strong>Divisibility by 7:</strong>Double the last digit (7 × 2 = 14), subtract it from the rest of the number (98 - 14 = 84), and since 84 is divisible by 7, 987 is divisible by 7.</p>
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<p><strong>Since 987 is divisible by 3 and 7, it has more than two factors and is therefore composite.</strong></p>
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<p><strong>Since 987 is divisible by 3 and 7, it has more than two factors and is therefore composite.</strong></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>A prime number chart is a tool created using the "Sieve of Eratosthenes" method. The steps are:</p>
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<p>A prime number chart is a tool created using the "Sieve of Eratosthenes" method. The steps are:</p>
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<p><strong>Step 1:</strong>Write numbers from 1 to 1000.</p>
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<p><strong>Step 1:</strong>Write numbers from 1 to 1000.</p>
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<p><strong>Step 2:</strong>Leave 1 uncolored, as it is neither prime nor composite.</p>
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<p><strong>Step 2:</strong>Leave 1 uncolored, as it is neither prime nor composite.</p>
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<p><strong>Step 3:</strong>Mark 2 as prime and cross out all<a>multiples</a>of 2.</p>
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<p><strong>Step 3:</strong>Mark 2 as prime and cross out all<a>multiples</a>of 2.</p>
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<p><strong>Step 4:</strong>Mark 3 as prime and cross out all multiples of 3.</p>
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<p><strong>Step 4:</strong>Mark 3 as prime and cross out all multiples of 3.</p>
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<p><strong>Step 5:</strong>Repeat this process until all numbers have been checked.</p>
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<p><strong>Step 5:</strong>Repeat this process until all numbers have been checked.</p>
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<p><strong>987 will not appear in the list of prime numbers generated by this method, confirming that it is composite.</strong></p>
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<p><strong>987 will not appear in the list of prime numbers generated by this method, confirming that it is composite.</strong></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 involves breaking down a number into its<a>prime factors</a>and then multiplying them to achieve the original number.</p>
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<p>Prime factorization involves breaking down a number into its<a>prime factors</a>and then multiplying them to achieve the original number.</p>
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<p><strong>Step 1:</strong>Divide 987 by 3 to get 329.</p>
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<p><strong>Step 1:</strong>Divide 987 by 3 to get 329.</p>
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<p><strong>Step 2:</strong>329 is divisible by 7 (329 ÷ 7 = 47), and 47 is a prime number.</p>
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<p><strong>Step 2:</strong>329 is divisible by 7 (329 ÷ 7 = 47), and 47 is a prime number.</p>
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<p><strong>Step 3:</strong>Therefore, the prime factorization of 987 is 3 × 7 × 47.</p>
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<p><strong>Step 3:</strong>Therefore, the prime factorization of 987 is 3 × 7 × 47.</p>
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<h2>Common Mistakes to Avoid When Determining if 987 is Not a Prime Number</h2>
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<h2>Common Mistakes to Avoid When Determining if 987 is Not a Prime Number</h2>
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<p>Children might have misconceptions about prime numbers when learning about them. Here are some common mistakes.</p>
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<p>Children might have misconceptions about prime numbers when learning about them. Here are some common mistakes.</p>
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<h2>FAQ on is 987 a Prime Number?</h2>
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<h2>FAQ on is 987 a Prime Number?</h2>
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<h3>1.Is 987 a perfect square?</h3>
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<h3>1.Is 987 a perfect square?</h3>
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<h3>2.What is the sum of the divisors of 987?</h3>
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<h3>2.What is the sum of the divisors of 987?</h3>
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<p>The sum of the divisors of 987 is 1680.</p>
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<p>The sum of the divisors of 987 is 1680.</p>
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<h3>3.What are the factors of 987?</h3>
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<h3>3.What are the factors of 987?</h3>
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<p>987 is divisible by 1, 3, 7, 21, 47, 141, 329, and 987, making these numbers its factors.</p>
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<p>987 is divisible by 1, 3, 7, 21, 47, 141, 329, and 987, making these numbers its factors.</p>
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<h3>4.What are the closest prime numbers to 987?</h3>
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<h3>4.What are the closest prime numbers to 987?</h3>
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<p>983 and 991 are the closest prime numbers to 987.</p>
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<p>983 and 991 are the closest prime numbers to 987.</p>
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<h3>5.What is the prime factorization of 987?</h3>
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<h3>5.What is the prime factorization of 987?</h3>
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<p>The prime factorization of 987 is 3 × 7 × 47.</p>
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<p>The prime factorization of 987 is 3 × 7 × 47.</p>
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<h2>Important Glossaries for "Is 987 a Prime Number"</h2>
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<h2>Important Glossaries for "Is 987 a Prime Number"</h2>
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<ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that have more than two factors. For example, 987 is a composite number because it is divisible by factors other than 1 and itself.</li>
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<ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that have more than two factors. For example, 987 is a composite number because it is divisible by factors other than 1 and itself.</li>
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<li><strong>Divisibility rules:</strong>A set of rules that help determine whether one number is divisible by another without performing full division.</li>
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<li><strong>Divisibility rules:</strong>A set of rules that help determine whether one number is divisible by another without performing full division.</li>
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<li><strong>Co-prime numbers:</strong>Two numbers with no common factors other than 1. For example, 8 and 15 are co-prime.</li>
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<li><strong>Co-prime numbers:</strong>Two numbers with no common factors other than 1. For example, 8 and 15 are co-prime.</li>
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<li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors.</li>
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<li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors.</li>
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<li><strong>Perfect square:</strong>A number that is the square of an integer. For example, 16 is a perfect square because it is 4 squared.</li>
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<li><strong>Perfect square:</strong>A number that is the square of an integer. For example, 16 is a perfect square because it is 4 squared.</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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<p>▶</p>
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<p>▶</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>