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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 themselves, are called prime numbers. For encryption, computer algorithms, and barcode generation, prime numbers are used. In this topic, we will be discussing whether 1997 is a prime number or not.</p>
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<p>The numbers that have only two factors, which are 1 and themselves, are called prime numbers. For encryption, computer algorithms, and barcode generation, prime numbers are used. In this topic, we will be discussing whether 1997 is a prime number or not.</p>
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<h2>Is 1997 a Prime Number?</h2>
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<h2>Is 1997 a Prime Number?</h2>
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<p>There are two<a>types of numbers</a>, mostly - Prime numbers 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 - Prime numbers and<a>composite numbers</a>, depending on the number of<a>factors</a>.</p>
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<p>A<a>prime number</a>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<a>prime number</a>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.</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.</p>
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<p>As 1997 has only two factors, it is a prime number.</p>
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<p>As 1997 has only two factors, it is a prime number.</p>
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<h2>Why is 1997 a Prime Number?</h2>
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<h2>Why is 1997 a Prime Number?</h2>
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<p>The characteristic<a>of</a>a prime number is that it has only two divisors: 1 and itself. Since 1997 has only two factors, it is a prime number. A few methods are used to distinguish between prime and composite numbers. Some methods are:</p>
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<p>The characteristic<a>of</a>a prime number is that it has only two divisors: 1 and itself. Since 1997 has only two factors, it is a prime number. A few methods are used to distinguish between prime and composite numbers. Some methods are:</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 1997 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 1997 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>Check for divisors up to the<a>square</a>root of 1997, which is approximately 44.7. Since 1997 is not divisible by any number other than 1 and itself, it is a prime number.</p>
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<p><strong>Step 2:</strong>Check for divisors up to the<a>square</a>root of 1997, which is approximately 44.7. Since 1997 is not divisible by any number other than 1 and itself, it is a prime 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>of rules 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>of rules 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>1997 is an<a>odd number</a>, so it is not divisible by 2.</p>
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<p><strong>Divisibility by 2:</strong>1997 is an<a>odd number</a>, 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 in 1997 is 26. Since 26 is not divisible by 3, 1997 is not divisible by 3.</p>
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<p><strong>Divisibility by 3:</strong>The<a>sum</a>of the digits in 1997 is 26. Since 26 is not divisible by 3, 1997 is not divisible by 3.</p>
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<p><strong>Divisibility by 5:</strong>The unit’s place digit is 7. Therefore, 1997 is not divisible by 5.</p>
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<p><strong>Divisibility by 5:</strong>The unit’s place digit is 7. Therefore, 1997 is not divisible by 5.</p>
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<p><strong>Divisibility by 7, 11, and other primes up to 44:</strong>None divide 1997 without a<a>remainder</a>. Since 1997 is not divisible by any of these, it is a prime number.</p>
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<p><strong>Divisibility by 7, 11, and other primes up to 44:</strong>None divide 1997 without a<a>remainder</a>. Since 1997 is not divisible by any of these, it is a prime 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 the following 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 the following steps.</p>
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<p><strong>Step 1:</strong>Write numbers up to a certain range.</p>
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<p><strong>Step 1:</strong>Write numbers up to a certain range.</p>
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<p><strong>Step 2:</strong>Leave 1 without coloring or crossing, as it is neither prime nor composite.</p>
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<p><strong>Step 2:</strong>Leave 1 without coloring or crossing, as it is neither prime nor composite.</p>
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<p><strong>Step 3:</strong>Mark the smallest number as prime and cross out all its<a>multiples</a>.</p>
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<p><strong>Step 3:</strong>Mark the smallest number as prime and cross out all its<a>multiples</a>.</p>
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<p><strong>Step 4:</strong>Repeat until reaching the limit. Since 1997 is not crossed out and is itself part of the list of primes, it is a prime number.</p>
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<p><strong>Step 4:</strong>Repeat until reaching the limit. Since 1997 is not crossed out and is itself part of the list of primes, it is a prime 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 a process of breaking down a number into<a>prime factors</a>and multiplying those factors to obtain the original number.</p>
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<p>Prime factorization is a process of breaking down a number into<a>prime factors</a>and multiplying those factors to obtain the original number.</p>
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<p><strong>Step 1:</strong>Start dividing 1997 by the smallest prime numbers.</p>
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<p><strong>Step 1:</strong>Start dividing 1997 by the smallest prime numbers.</p>
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<p><strong>Step 2:</strong>Continue until you find a prime factor. Since 1997 does not break down further into any prime factors, it confirms that 1997 is a prime number.</p>
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<p><strong>Step 2:</strong>Continue until you find a prime factor. Since 1997 does not break down further into any prime factors, it confirms that 1997 is a prime number.</p>
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<h2>Common Mistakes to Avoid When Determining if 1997 is a Prime Number</h2>
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<h2>Common Mistakes to Avoid When Determining if 1997 is a Prime Number</h2>
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<p>People might have misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made.</p>
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<p>People might have misconceptions about prime numbers when they are learning about them. Here are some mistakes that might be made.</p>
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<h2>FAQ on Is 1997 a Prime Number?</h2>
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<h2>FAQ on Is 1997 a Prime Number?</h2>
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<h3>1.Is 1997 a perfect square?</h3>
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<h3>1.Is 1997 a perfect square?</h3>
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<h3>2.What is the sum of the divisors of 1997?</h3>
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<h3>2.What is the sum of the divisors of 1997?</h3>
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<p>The sum of the divisors of 1997 is 1998 (since its only divisors are 1 and 1997).</p>
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<p>The sum of the divisors of 1997 is 1998 (since its only divisors are 1 and 1997).</p>
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<h3>3.What are the factors of 1997?</h3>
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<h3>3.What are the factors of 1997?</h3>
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<p>1997 is divisible by 1 and 1997, making these numbers the factors.</p>
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<p>1997 is divisible by 1 and 1997, making these numbers the factors.</p>
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<h3>4.What are the closest prime numbers to 1997?</h3>
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<h3>4.What are the closest prime numbers to 1997?</h3>
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<p>1993 and 1999 are the closest prime numbers to 1997.</p>
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<p>1993 and 1999 are the closest prime numbers to 1997.</p>
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<h3>5.What is the prime factorization of 1997?</h3>
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<h3>5.What is the prime factorization of 1997?</h3>
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<p>Since 1997 is a prime number, its prime factorization is just 1997 itself.</p>
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<p>Since 1997 is a prime number, its prime factorization is just 1997 itself.</p>
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<h2>Important Glossaries for "Is 1997 a Prime Number"</h2>
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<h2>Important Glossaries for "Is 1997 a Prime Number"</h2>
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<ul><li><strong>Prime numbers:</strong>Natural numbers greater than 1 that are divisible only by 1 and themselves, like 2, 3, 5, 7, etc.</li>
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<ul><li><strong>Prime numbers:</strong>Natural numbers greater than 1 that are divisible only by 1 and themselves, like 2, 3, 5, 7, etc.</li>
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</ul><ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that are divisible by more than two numbers, like 4, 6, 9, etc.</li>
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</ul><ul><li><strong>Composite numbers:</strong>Natural numbers greater than 1 that are divisible by more than two numbers, like 4, 6, 9, etc.</li>
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</ul><ul><li><strong>Divisibility rules:</strong>Set of rules to determine if one number is divisible by another without performing the actual division.</li>
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</ul><ul><li><strong>Divisibility rules:</strong>Set of rules to determine if one number is divisible by another without performing the actual division.</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><ul><li><strong>Factors:</strong>Numbers that divide a given number exactly without leaving a remainder. For example, the factors of 6 are 1, 2, 3, and 6.</li>
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</ul><ul><li><strong>Factors:</strong>Numbers that divide a given number exactly without leaving a remainder. For example, the factors of 6 are 1, 2, 3, and 6.</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>