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2026-01-01
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2026-02-28
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<p>331 Learners</p>
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<p>374 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 171?</h2>
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<h2>What are the factors of 171?</h2>
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<p>With the help of the<a>long division</a>method, we can find out that 171 can be easily divided by 1, 3, 9, 19, 57, and 171. 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 of the<a>long division</a>method, we can find out that 171 can be easily divided by 1, 3, 9, 19, 57, and 171. 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 171</h2>
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<h2>How to find the factors of 171</h2>
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<p>There are many methods which the students can use to find out the factors of a number. Some of the most used methods are given below.</p>
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<p>There are many methods which the students can use to find out the factors of a number. Some of the most used methods are given below.</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 208 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 208 the pairs are.</p>
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<p>1×171=171</p>
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<p>1×171=171</p>
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<p>3×57=171</p>
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<p>3×57=171</p>
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<p>9×19=171</p>
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<p>9×19=171</p>
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<p>Hence, we can conclude that the factors of 171 are 1, 3, 9, 19, 57, and 171 </p>
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<p>Hence, we can conclude that the factors of 171 are 1, 3, 9, 19, 57, and 171 </p>
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<h3>Explore Our Programs</h3>
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<h3>Explore Our Programs</h3>
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<h3>Finding factors by division method</h3>
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<h3>Finding factors by division method</h3>
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<p>In the<a>division</a>method, you need to divide the given number 208 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 208 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>171÷1=171 (no<a>remainder</a>)</p>
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<p>171÷1=171 (no<a>remainder</a>)</p>
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<p>171÷3=57 (no remainder)</p>
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<p>171÷3=57 (no remainder)</p>
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<p>171÷9=19 (no remainder)</p>
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<p>171÷9=19 (no remainder)</p>
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<p>171÷19=9 (no remainder) </p>
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<p>171÷19=9 (no remainder) </p>
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<h3>Prime factors and prime factorization</h3>
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<h3>Prime factors and prime factorization</h3>
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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>171÷3= 57 (2 is a prime factor).</p>
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<p>171÷3= 57 (2 is a prime factor).</p>
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<p>19 is also prime.</p>
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<p>19 is also prime.</p>
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<p>Therefore, prime factors of 171 are 3 and 19 </p>
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<p>Therefore, prime factors of 171 are 3 and 19 </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 171.</h2>
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<h2>Common mistakes and how to avoid them in factors of 171.</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 greatest common factor (GCF) of 18 and 24?</p>
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<p>What is the greatest common factor (GCF) 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>6 </p>
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<p>6 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Factors of 18: 1, 2, 3, 6, 9, 18</p>
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<p>Factors of 18: 1, 2, 3, 6, 9, 18</p>
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<p>Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24</p>
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<p>Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24</p>
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<p>GCF: 6</p>
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<p>GCF: 6</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 are the prime factors of 84?</p>
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<p>What are the prime factors of 84?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>22 × 3 × 7 </p>
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<p>22 × 3 × 7 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>84 ÷ 2 = 42</p>
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<p>84 ÷ 2 = 42</p>
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<p>42 ÷ 2 = 21</p>
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<p>42 ÷ 2 = 21</p>
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<p>21 ÷ 3 = 7 </p>
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<p>21 ÷ 3 = 7 </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>If a number has exactly 4 factors, what could it be?</p>
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<p>If a number has exactly 4 factors, what could it be?</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 answer is going to be 6 </p>
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<p>The answer is going to be 6 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>6 has 4 factors, this can be proved by listing its factors: 1, 2, 3, 6</p>
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<p>6 has 4 factors, this can be proved by listing its factors: 1, 2, 3, 6</p>
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<p>A number with 4 factors is often the product of two distinct prime numbers.</p>
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<p>A number with 4 factors is often the product of two distinct prime numbers.</p>
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<p>Here, 6 is the product of 3 and 2. </p>
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<p>Here, 6 is the product of 3 and 2. </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 171</h2>
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<h2>FAQs on factors of 171</h2>
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<h3>1. How many composite factors does 171 have?</h3>
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<h3>1. How many composite factors does 171 have?</h3>
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<p>By applying the division method on 171 we get to know that the numbers 1,3,9,19,57,171 are the factors of 171, among which 1, 3 and 19 are prime numbers. Hence, the composite factors of 171 are 9, 57, 171. </p>
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<p>By applying the division method on 171 we get to know that the numbers 1,3,9,19,57,171 are the factors of 171, among which 1, 3 and 19 are prime numbers. Hence, the composite factors of 171 are 9, 57, 171. </p>
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<h3>2.How many factors do prime numbers have?</h3>
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<h3>2.How many factors do prime numbers have?</h3>
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<p>According to the prime number definition, a number with only two distinct divisors or factors are known as prime numbers, and they must not have any prime factors of their own. </p>
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<p>According to the prime number definition, a number with only two distinct divisors or factors are known as prime numbers, and they must not have any prime factors of their own. </p>
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<h3>3.What is the largest factor of 171?</h3>
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<h3>3.What is the largest factor of 171?</h3>
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<p>So for the number 171 the largest factor which is able to divide it, and leaves no remainder is 171 itself, therefore the largest factor of the number 171 is the number 171 itself. </p>
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<p>So for the number 171 the largest factor which is able to divide it, and leaves no remainder is 171 itself, therefore the largest factor of the number 171 is the number 171 itself. </p>
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<h3>4. Can 1 be a factor of all the numbers?</h3>
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<h3>4. Can 1 be a factor of all the numbers?</h3>
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<p>Yes, because on division the number divided by one gives the same number and there is no remainder left after division. </p>
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<p>Yes, because on division the number divided by one gives the same number and there is no remainder left after division. </p>
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<h3>5.Is 171 a composite number?</h3>
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<h3>5.Is 171 a composite number?</h3>
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<p> A number that can only be split by two distinct divisors is a prime number, 171 has over two divisors, so it’s a non-prime also known as a composite number. </p>
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<p> A number that can only be split by two distinct divisors is a prime number, 171 has over two divisors, so it’s a non-prime also known as a composite number. </p>
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<h2>Important glossaries for factors of 208</h2>
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<h2>Important glossaries for factors of 208</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>