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2026-01-01
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2026-02-21
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<p>314 Learners</p>
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<p>Last updated on<strong>December 11, 2025</strong></p>
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<p>Last updated on<strong>December 11, 2025</strong></p>
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<p>In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.</p>
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<p>In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.</p>
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<h2>What are the factors of 182?</h2>
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<h2>What are the factors of 182?</h2>
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<p>With the help<a>of</a>the<a>long division</a>method, we can find out that 182 can be easily divided by 1, 2, 7, 13, 14, 26, 91, and 182. It is also worth remembering that<a>numbers</a>, having only 2<a>factors</a>, are called<a>prime numbers</a>.</p>
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<p>With the help<a>of</a>the<a>long division</a>method, we can find out that 182 can be easily divided by 1, 2, 7, 13, 14, 26, 91, and 182. It is also worth remembering that<a>numbers</a>, having only 2<a>factors</a>, are called<a>prime numbers</a>.</p>
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<h2>How to find the factors of 182</h2>
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<h2>How to find the factors of 182</h2>
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<p>There are many methods which the students can use to find out the factors of a number. Below you can find some of these methods.</p>
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<p>There are many methods which the students can use to find out the factors of a number. Below you can find some of these methods.</p>
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<ul><li>Multiplication method</li>
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<ul><li>Multiplication method</li>
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</ul><ul><li>Division method</li>
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</ul><ul><li>Division method</li>
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</ul><ul><li>Prime factors and<a>prime factorization</a></li>
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</ul><ul><li>Prime factors and<a>prime factorization</a></li>
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</ul><ul><li>Factor tree </li>
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</ul><ul><li>Factor tree </li>
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</ul><h3>Finding factors using multiplication method</h3>
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</ul><h3>Finding factors using multiplication method</h3>
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<p>Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 182 the pairs are.</p>
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<p>Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 182 the pairs are.</p>
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<p>1 × 182 = 182 2 × 91 = 182 7 × 26 = 182 13 × 14 = 182</p>
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<p>1 × 182 = 182 2 × 91 = 182 7 × 26 = 182 13 × 14 = 182</p>
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<p>Hence, we can conclude that the factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182. </p>
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<p>Hence, we can conclude that the factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182. </p>
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<h3>Explore Our Programs</h3>
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<h3>Explore Our Programs</h3>
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<h2>Finding factors by division method</h2>
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<h2>Finding factors by division method</h2>
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<p>In the<a>division</a>method, you need to divide the given number 182 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.</p>
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<p>In the<a>division</a>method, you need to divide the given number 182 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.</p>
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<p>182 ÷ 1 = 182 (no<a>remainder</a>)</p>
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<p>182 ÷ 1 = 182 (no<a>remainder</a>)</p>
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<p>182 ÷ 2 = 91 (no remainder)</p>
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<p>182 ÷ 2 = 91 (no remainder)</p>
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<p>182 ÷ 7 = 26 (no remainder)</p>
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<p>182 ÷ 7 = 26 (no remainder)</p>
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<p>182 ÷ 13 = 14 (no remainder)</p>
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<p>182 ÷ 13 = 14 (no remainder)</p>
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<h2>Prime factors and prime factorization</h2>
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<h2>Prime factors and prime factorization</h2>
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<p>Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.</p>
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<p>Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.</p>
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<p>182÷7= 26 (7 is a prime factor).</p>
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<p>182÷7= 26 (7 is a prime factor).</p>
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<p>26 can be written as 2 and 13 which are also prime numbers.</p>
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<p>26 can be written as 2 and 13 which are also prime numbers.</p>
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<p>Therefore, prime factors of 182 are 2, 7, 13. </p>
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<p>Therefore, prime factors of 182 are 2, 7, 13. </p>
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<h3>Factor tree</h3>
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<h3>Factor tree</h3>
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<p>A<a>factor tree</a>is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.</p>
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<p>A<a>factor tree</a>is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.</p>
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<h2>Common mistakes and how to avoid them in factors of 182.</h2>
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<h2>Common mistakes and how to avoid them in factors of 182.</h2>
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<p>It is quite normal for students to commit a few mistakes while trying to find out the factors of a number. Below are a few such mistakes and how to avoid them. </p>
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<p>It is quite normal for students to commit a few mistakes while trying to find out the factors of a number. Below are a few such mistakes and how to avoid them. </p>
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<h2>Download Worksheets</h2>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>What is the least common multiple (LCM) of 18 and 24?</p>
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<p>What is the least common multiple (LCM) of 18 and 24?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>72 </p>
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<p>72 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Multiples of 18: 18, 36, 54, 72, ...</p>
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<p>Multiples of 18: 18, 36, 54, 72, ...</p>
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<p>Multiples of 24: 24, 48, 72, ...</p>
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<p>Multiples of 24: 24, 48, 72, ...</p>
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<p>LCM: 72 </p>
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<p>LCM: 72 </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>What is a factor pair?</p>
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<p>What is a factor pair?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>A factor pair consists of two numbers that multiply to give the original number. </p>
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<p>A factor pair consists of two numbers that multiply to give the original number. </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>For example, for the number 12:</p>
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<p>For example, for the number 12:</p>
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<p>1 × 12 = 12</p>
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<p>1 × 12 = 12</p>
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<p>2 × 6 = 12</p>
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<p>2 × 6 = 12</p>
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<p>3 × 4 = 12 </p>
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<p>3 × 4 = 12 </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>What are the factors of a multiple of 10?</p>
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<p>What are the factors of a multiple of 10?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>The factors of any multiple of 10 will always include 1, 2, 5, 10, and other divisors depending on the number.</p>
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<p>The factors of any multiple of 10 will always include 1, 2, 5, 10, and other divisors depending on the number.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Multiples of 10 are divisible by 10.</p>
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<p>Multiples of 10 are divisible by 10.</p>
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<p>10 is divisible by 1, 2, 5, and 10.</p>
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<p>10 is divisible by 1, 2, 5, and 10.</p>
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<p>Therefore, multiples of 10 will always have 1, 2, 5, and 10 as factors. </p>
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<p>Therefore, multiples of 10 will always have 1, 2, 5, and 10 as factors. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on factors of 182.</h2>
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<h2>FAQs on factors of 182.</h2>
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<h3>1.What is the sum of the factors of 16 together?</h3>
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<h3>1.What is the sum of the factors of 16 together?</h3>
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<p>By the use of the division method, we can find out the factors of 9, which are 1, 2, 4, 8, and 16. Now if we add them, we get 1 + 2 + 4 + 8 + 16 = 31. </p>
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<p>By the use of the division method, we can find out the factors of 9, which are 1, 2, 4, 8, and 16. Now if we add them, we get 1 + 2 + 4 + 8 + 16 = 31. </p>
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<h3>2. What are the factor pairs of 42?</h3>
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<h3>2. What are the factor pairs of 42?</h3>
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<p>Factor pairs of 42 include (1, 42), (2, 21), (3, 14), (6, 7). These pairs when multiplied together to get 42 as their<a>product</a>. 1 × 42 = 42, 2 × 21 = 42, 3 × 14 = 42, and 6 × 7 = 42. </p>
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<p>Factor pairs of 42 include (1, 42), (2, 21), (3, 14), (6, 7). These pairs when multiplied together to get 42 as their<a>product</a>. 1 × 42 = 42, 2 × 21 = 42, 3 × 14 = 42, and 6 × 7 = 42. </p>
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<h3>3.What are the prime factors of 84?</h3>
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<h3>3.What are the prime factors of 84?</h3>
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<p> By using the prime factorization method, we can see that 84 has two prime factors,2, 3, and 7. This also proves that the number 84 is a composite number.</p>
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<p> By using the prime factorization method, we can see that 84 has two prime factors,2, 3, and 7. This also proves that the number 84 is a composite number.</p>
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<h3>4.What is the difference between division and prime factor method?</h3>
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<h3>4.What is the difference between division and prime factor method?</h3>
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<p>The division method is when you divide a number by certain<a>integers</a>to find the factors, and the prime factor is back to its prime components. </p>
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<p>The division method is when you divide a number by certain<a>integers</a>to find the factors, and the prime factor is back to its prime components. </p>
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<h3>5.What is the smallest factor of 221 other than 1?</h3>
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<h3>5.What is the smallest factor of 221 other than 1?</h3>
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<p>So for the number 221 the smallest factor which is able to divide it, and leaves no remainder is 13, therefore the smallest factor of the number 221 is the number 13. </p>
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<p>So for the number 221 the smallest factor which is able to divide it, and leaves no remainder is 13, therefore the smallest factor of the number 221 is the number 13. </p>
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<h2>Important glossaries for factors of 182.</h2>
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<h2>Important glossaries for factors of 182.</h2>
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<ul><li><strong>Divisor:</strong>Any integer that can be divided, with no remainder, by some other integer, is a divisor.</li>
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<ul><li><strong>Divisor:</strong>Any integer that can be divided, with no remainder, by some other integer, is a divisor.</li>
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</ul><ul><li><strong>Prime Factorization:</strong>Writing a number as the product of its own prime factors.</li>
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</ul><ul><li><strong>Prime Factorization:</strong>Writing a number as the product of its own prime factors.</li>
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</ul><ul><li><strong>Factor Pair:</strong>Multiplication of two factors to get a product. </li>
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</ul><ul><li><strong>Factor Pair:</strong>Multiplication of two factors to get a product. </li>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples 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>