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2026-01-01
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<p>Last updated on<strong>December 12, 2025</strong></p>
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<p>Last updated on<strong>December 12, 2025</strong></p>
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<p>Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of -31, how they are used in real life, and the tips to learn them quickly.</p>
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<p>Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of -31, how they are used in real life, and the tips to learn them quickly.</p>
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<h2>What are the Factors of -31?</h2>
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<h2>What are the Factors of -31?</h2>
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<p>The<a>numbers</a>that divide -31 evenly are known as<a>factors</a><a>of</a>-31.</p>
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<p>The<a>numbers</a>that divide -31 evenly are known as<a>factors</a><a>of</a>-31.</p>
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<p>A factor of -31 is a number that divides the number without<a>remainder</a>.</p>
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<p>A factor of -31 is a number that divides the number without<a>remainder</a>.</p>
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<p>The factors of -31 are 1 and 31.</p>
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<p>The factors of -31 are 1 and 31.</p>
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<p>Negative factors of -31: -1 and -31.</p>
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<p>Negative factors of -31: -1 and -31.</p>
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<p>Prime factors of -31: 31.</p>
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<p>Prime factors of -31: 31.</p>
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<p><strong>Prime factorization of -31</strong>: -1 × 31.</p>
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<p><strong>Prime factorization of -31</strong>: -1 × 31.</p>
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<p>The<a>sum</a>of factors of -31: 1 + 31 + (-1) + (-31) = 0</p>
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<p>The<a>sum</a>of factors of -31: 1 + 31 + (-1) + (-31) = 0</p>
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<h2>How to Find Factors of -31?</h2>
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<h2>How to Find Factors of -31?</h2>
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<p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>
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<p>Factors can be found using different methods. Mentioned below are some commonly used methods:</p>
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<ul><li>Finding factors using<a>multiplication</a> </li>
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<ul><li>Finding factors using<a>multiplication</a> </li>
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<li>Finding factors using<a>division</a>method </li>
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<li>Finding factors using<a>division</a>method </li>
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<li>Prime factors and Prime factorization</li>
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<li>Prime factors and Prime factorization</li>
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</ul><h3>Finding Factors Using Multiplication</h3>
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</ul><h3>Finding Factors Using Multiplication</h3>
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<p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -31. Identifying the numbers which are multiplied to get the number -31 is the multiplication method.</p>
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<p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -31. Identifying the numbers which are multiplied to get the number -31 is the multiplication method.</p>
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<p><strong>Step 1:</strong>Multiply -31 by 1, -31 × 1 = -31.</p>
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<p><strong>Step 1:</strong>Multiply -31 by 1, -31 × 1 = -31.</p>
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<p><strong>Step 2:</strong>Check for other numbers that give -31 after multiplying -1 × 31 = -31</p>
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<p><strong>Step 2:</strong>Check for other numbers that give -31 after multiplying -1 × 31 = -31</p>
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<p>Therefore, the factor pairs of -31 are: (1, -31) and (-1, 31).</p>
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<p>Therefore, the factor pairs of -31 are: (1, -31) and (-1, 31).</p>
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<p>All these factor pairs result in -31.</p>
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<p>All these factor pairs result in -31.</p>
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<h3>Finding Factors Using Division Method</h3>
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<h3>Finding Factors Using Division Method</h3>
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<p>Dividing the given number by<a>whole numbers</a>until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method </p>
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<p>Dividing the given number by<a>whole numbers</a>until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method </p>
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<p><strong>Step 1:</strong>Divide -31 by 1, -31 ÷ 1 = -31.</p>
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<p><strong>Step 1:</strong>Divide -31 by 1, -31 ÷ 1 = -31.</p>
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<p><strong>Step 2:</strong>Continue dividing -31 by numbers until the remainder becomes 0.</p>
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<p><strong>Step 2:</strong>Continue dividing -31 by numbers until the remainder becomes 0.</p>
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<p>-31 ÷ 1 = -31</p>
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<p>-31 ÷ 1 = -31</p>
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<p>-31 ÷ -1 = 31</p>
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<p>-31 ÷ -1 = 31</p>
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<p>Therefore, the factors of -31 are: 1, -1, 31, and -31.</p>
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<p>Therefore, the factors of -31 are: 1, -1, 31, and -31.</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>The factors can be found by dividing it with<a>prime numbers</a>. We can find the<a>prime factors</a>using the following methods:</p>
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<p>The factors can be found by dividing it with<a>prime numbers</a>. We can find the<a>prime factors</a>using the following methods:</p>
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<ul><li>Using prime factorization </li>
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<ul><li>Using prime factorization </li>
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<li>Using<a>factor tree</a></li>
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<li>Using<a>factor tree</a></li>
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</ul><p>Using Prime Factorization: In this process, prime factors of -31 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.</p>
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</ul><p>Using Prime Factorization: In this process, prime factors of -31 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.</p>
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<p>Since -31 is a prime number, it can only be divided by 1 and itself.</p>
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<p>Since -31 is a prime number, it can only be divided by 1 and itself.</p>
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<p>The prime factorization of -31 is: -1 × 31.</p>
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<p>The prime factorization of -31 is: -1 × 31.</p>
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<h3>Factor Tree</h3>
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<h3>Factor Tree</h3>
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<p>The factor tree is the graphical representation of breaking down any number into prime factors.</p>
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<p>The factor tree is the graphical representation of breaking down any number into prime factors.</p>
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<p>As -31 is a prime number, it does not break further like<a>composite numbers</a>. It can only be represented as -1 × 31.</p>
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<p>As -31 is a prime number, it does not break further like<a>composite numbers</a>. It can only be represented as -1 × 31.</p>
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<p>Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs.</p>
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<p>Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs.</p>
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<p>Both positive and negative factors constitute factor pairs.</p>
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<p>Both positive and negative factors constitute factor pairs.</p>
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<p>Factor pairs of -31: (1, -31) and (-1, 31).</p>
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<p>Factor pairs of -31: (1, -31) and (-1, 31).</p>
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<h2>Common Mistakes and How to Avoid Them in Factors of -31</h2>
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<h2>Common Mistakes and How to Avoid Them in Factors of -31</h2>
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<p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.</p>
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<p>Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.</p>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>A group of people needs to distribute -31 tokens evenly among themselves. If each person should receive a whole number of tokens, how many people can be in the group?</p>
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<p>A group of people needs to distribute -31 tokens evenly among themselves. If each person should receive a whole number of tokens, how many people can be in the group?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>1 or 31 people</p>
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<p>1 or 31 people</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Since -31 is a prime number, it can only be divided evenly by 1 or 31.</p>
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<p>Since -31 is a prime number, it can only be divided evenly by 1 or 31.</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>A debt of -31 dollars is to be split among 31 friends. How much does each friend owe?</p>
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<p>A debt of -31 dollars is to be split among 31 friends. How much does each friend owe?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>Each friend owes -1 dollar.</p>
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<p>Each friend owes -1 dollar.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>To split the debt equally, divide the total debt by the number of friends.</p>
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<p>To split the debt equally, divide the total debt by the number of friends.</p>
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<p>-31/31 = -1</p>
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<p>-31/31 = -1</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>A project requires -31 hours of work, which can only be handled by a single person or an entire team. If a team takes on the project, how many members should it have so each member contributes whole hours?</p>
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<p>A project requires -31 hours of work, which can only be handled by a single person or an entire team. If a team takes on the project, how many members should it have so each member contributes whole hours?</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 team should have 1 or 31 members.</p>
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<p>The team should have 1 or 31 members.</p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Because -31 is a prime number, the work can only be divided among 1 or 31 members to maintain whole hours.</p>
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<p>Because -31 is a prime number, the work can only be divided among 1 or 31 members to maintain whole hours.</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 -31</h2>
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<h2>FAQs on Factors of -31</h2>
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<h3>1.What are the factors of -31?</h3>
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<h3>1.What are the factors of -31?</h3>
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<p>The factors of -31 are 1, -1, 31, and -31.</p>
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<p>The factors of -31 are 1, -1, 31, and -31.</p>
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<h3>2.Mention the prime factors of -31.</h3>
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<h3>2.Mention the prime factors of -31.</h3>
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<p>The prime factor of -31 is 31.</p>
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<p>The prime factor of -31 is 31.</p>
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<h3>3.Is -31 a multiple of -1?</h3>
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<h3>3.Is -31 a multiple of -1?</h3>
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<h3>4.Mention the factor pairs of -31?</h3>
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<h3>4.Mention the factor pairs of -31?</h3>
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<p>The factor pairs of -31 are (1, -31) and (-1, 31).</p>
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<p>The factor pairs of -31 are (1, -31) and (-1, 31).</p>
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<h3>5.What is the absolute value of -31?</h3>
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<h3>5.What is the absolute value of -31?</h3>
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<h2>Important Glossaries for Factors of -31</h2>
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<h2>Important Glossaries for Factors of -31</h2>
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<ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -31 are 1, -1, 31, and -31.</li>
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<ul><li><strong>Factors:</strong>The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -31 are 1, -1, 31, and -31.</li>
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</ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 31 is the prime factor of -31.</li>
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</ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 31 is the prime factor of -31.</li>
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</ul><ul><li><strong>Factor pairs</strong>: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of -31 are (1, -31) and (-1, 31).</li>
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</ul><ul><li><strong>Factor pairs</strong>: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of -31 are (1, -31) and (-1, 31).</li>
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</ul><ul><li><strong>Negative factors:</strong>Factors that are negative numbers. For example, -1 and -31 are negative factors of -31.</li>
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</ul><ul><li><strong>Negative factors:</strong>Factors that are negative numbers. For example, -1 and -31 are negative factors of -31.</li>
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</ul><ul><li><strong>Prime number:</strong>A number greater than 1 with no divisors other than 1 and itself. For example, 31 is a prime number.</li>
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</ul><ul><li><strong>Prime number:</strong>A number greater than 1 with no divisors other than 1 and itself. For example, 31 is a prime number.</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>