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2026-01-01
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2026-02-28
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<p>275 Learners</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 975, how they are used in real life, and tips to learn them quickly.</p>
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<h2>What are the Factors of 975?</h2>
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<p>The<a>numbers</a>that divide 975 evenly are known as<a>factors</a>of 975.</p>
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<p>A factor of 975 is a number that divides the number without a<a>remainder</a>.</p>
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<p>The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, and 975.</p>
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<p>Negative factors of 975: -1, -3, -5, -13, -15, -25, -39, -65, -75, -195, -325, and -975.</p>
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<p>Prime factors of 975: 3, 5, and 13.</p>
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<p>Prime factorization of 975: 3 × 52 × 13.</p>
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<p>The<a>sum</a>of factors of 975: 1 + 3 + 5 + 13 + 15 + 25 + 39 + 65 + 75 + 195 + 325 + 975 = 1736</p>
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<h2>How to Find Factors of 975?</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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<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>Prime factors and Prime factorization</li>
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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 975. Identifying the numbers that are multiplied to get the number 975 is the multiplication method.</p>
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<p><strong>Step 1:</strong>Multiply 975 by 1, 975 × 1 = 975.</p>
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<p><strong>Step 2:</strong>Check for other numbers that give 975 after multiplying</p>
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<p>3 × 325 = 975</p>
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<p>5 × 195 = 975</p>
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<p>13 × 75 = 975</p>
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<p>15 × 65 = 975</p>
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<p>25 × 39 = 975</p>
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<p>Therefore, the positive factor pairs of 975 are: (1, 975), (3, 325), (5, 195), (13, 75), (15, 65), (25, 39).</p>
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<p>All these factor pairs result in 975.</p>
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<p>For every positive factor, there is a negative factor.</p>
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<h3>Explore Our Programs</h3>
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<p>No Courses Available</p>
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<h3>Finding Factors Using Division Method</h3>
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<p>Dividing the given numbers with<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result as 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 975 by 1, 975 ÷ 1 = 975.</p>
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<p><strong>Step 2:</strong>Continue dividing 975 by the numbers until the remainder becomes 0.</p>
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<p>975 ÷ 1 = 975</p>
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<p>975 ÷ 3 = 325</p>
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<p>975 ÷ 5 = 195</p>
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<p>975 ÷ 13 = 75</p>
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<p>975 ÷ 15 = 65</p>
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<p>975 ÷ 25 = 39</p>
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<p><strong>Therefore, the factors of 975 are:</strong>1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975.</p>
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<h3>Prime Factors and Prime Factorization</h3>
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<p>The factors can be found by dividing them 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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<li>Using<a>factor tree</a></li>
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</ul><p>Using Prime Factorization: In this process, prime factors of 975 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>975 ÷ 3 = 325</p>
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<p>325 ÷ 5 = 65</p>
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<p>65 ÷ 5 = 13</p>
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<p>13 ÷ 13 = 1</p>
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<p>The prime factors of 975 are 3, 5, and 13.</p>
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<p>The prime factorization of 975 is: 3 × 5^2 × 13.</p>
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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. The following step shows -</p>
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<p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>
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<p><strong>Step 1:</strong>Firstly, 975 is divided by 3 to get 325.</p>
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<p><strong>Step 1:</strong>Firstly, 975 is divided by 3 to get 325.</p>
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<p><strong>Step 2:</strong>Now divide 325 by 5 to get 65.</p>
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<p><strong>Step 2:</strong>Now divide 325 by 5 to get 65.</p>
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<p><strong>Step 3:</strong>Then divide 65 by 5 to get 13.</p>
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<p><strong>Step 3:</strong>Then divide 65 by 5 to get 13.</p>
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<p>Here, 13 is the smallest prime number, and it cannot be divided anymore.</p>
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<p>Here, 13 is the smallest prime number, and it cannot be divided anymore.</p>
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<p>So, the prime factorization of 975 is: 3 × 52 × 13.</p>
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<p>So, the prime factorization of 975 is: 3 × 52 × 13.</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>Positive factor pairs of 975: (1, 975), (3, 325), (5, 195), (13, 75), (15, 65), and (25, 39).</p>
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<p>Positive factor pairs of 975: (1, 975), (3, 325), (5, 195), (13, 75), (15, 65), and (25, 39).</p>
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<p>Negative factor pairs of 975: (-1, -975), (-3, -325), (-5, -195), (-13, -75), (-15, -65), and (-25, -39).</p>
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<p>Negative factor pairs of 975: (-1, -975), (-3, -325), (-5, -195), (-13, -75), (-15, -65), and (-25, -39).</p>
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<h2>Common Mistakes and How to Avoid Them in Factors of 975</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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<h3>Problem 1</h3>
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<p>There are 13 teams and 975 players. How will they divide it equally?</p>
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<p>Okay, lets begin</p>
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<p>They will get 75 players each.</p>
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<h3>Explanation</h3>
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<p>To divide the players equally, we need to divide the total players by the number of teams.</p>
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<p>975/13 = 75</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<p>A garden is rectangular, the length of the garden is 15 meters and the total area is 975 square meters. Find the width?</p>
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<p>Okay, lets begin</p>
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<p>65 meters.</p>
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<h3>Explanation</h3>
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<p>To find the width of the garden, we use the formula,</p>
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<p>Area = length × width</p>
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<p>975 = 15 × width</p>
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<p>To find the value of width, we need to shift 15 to the left side.</p>
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<p>975/15 = width</p>
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<p>Width = 65.</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<p>There are 5 baskets and 975 apples. How many apples will be in each basket?</p>
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<p>Okay, lets begin</p>
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<p>Each basket will have 195 apples.</p>
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<h3>Explanation</h3>
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<p>To find the apples in each basket, divide the total apples by the baskets.</p>
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<p>975/5 = 195</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<p>In a hall, there are 975 chairs, and 25 rows. How many chairs are there in each row?</p>
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<p>Okay, lets begin</p>
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<p>There are 39 chairs in each row.</p>
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<h3>Explanation</h3>
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<p>Dividing the chairs by the total rows, we will get the number of chairs in each row.</p>
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<p>975/25 = 39</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<p>975 tickets need to be distributed in 3 booths. How many tickets will go to each booth?</p>
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<p>Okay, lets begin</p>
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<p>Each of the booths has 325 tickets.</p>
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<h3>Explanation</h3>
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<p>Divide total tickets by booths.</p>
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<p>975/3 = 325</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Factors of 975</h2>
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<h3>1.What are the factors of 975?</h3>
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<p>1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975 are the factors of 975.</p>
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<h3>2.Mention the prime factors of 975.</h3>
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<p>The prime factors of 975 are 3 × 52 × 13.</p>
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<h3>3.Is 975, a multiple of 5?</h3>
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<h3>4.Mention the factor pairs of 975?</h3>
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<p>(1, 975), (3, 325), (5, 195), (13, 75), (15, 65), and (25, 39) are the factor pairs of 975.</p>
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<h3>5.What is the square of 975?</h3>
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<h2>Important Glossaries for Factor of 975</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 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, and 975.</li>
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<li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 3, 5, and 13 are prime factors of 975.</li>
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<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 975 are (1, 975), (3, 325), etc.</li>
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<li><strong>Prime factorization:</strong>The process of determining the prime factors of a number. For example, the prime factorization of 975 is 3 × 52 × 13.</li>
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<li><strong>Multiples:</strong>A number that can be divided by another number without a remainder. For example, 975 is a multiple of 5.</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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<p>▶</p>
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<h2>Hiralee Lalitkumar Makwana</h2>
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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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<h3>Fun Fact</h3>
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<p>: She loves to read number jokes and games.</p>