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Original
2026-01-01
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2026-02-28
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<p>254 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 1248, 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 1248?</h2>
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<p>The<a>numbers</a>that divide 1248 evenly are known as<a>factors</a><a>of</a>1248. A factor of 1248 is a number that divides the number without<a>remainder</a>. The factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 416, 624, and 1248.</p>
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<p>The<a>numbers</a>that divide 1248 evenly are known as<a>factors</a><a>of</a>1248. A factor of 1248 is a number that divides the number without<a>remainder</a>. The factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 416, 624, and 1248.</p>
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<p><strong>Negative factors of 1248:</strong>-1, -2, -3, -4, -6, -8, -12, -13, -16, -24, -26, -39, -48, -52, -78, -104, -156, -208, -312, -416, -624, and -1248.</p>
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<p><strong>Negative factors of 1248:</strong>-1, -2, -3, -4, -6, -8, -12, -13, -16, -24, -26, -39, -48, -52, -78, -104, -156, -208, -312, -416, -624, and -1248.</p>
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<p><strong>Prime factors of 1248:</strong>2 and 3, 13.</p>
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<p><strong>Prime factors of 1248:</strong>2 and 3, 13.</p>
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<p><strong>Prime factorization of 1248:</strong>24 × 3 × 13.</p>
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<p><strong>Prime factorization of 1248:</strong>24 × 3 × 13.</p>
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<p><strong>The<a>sum</a>of factors of 1248:</strong>1 + 2 + 3 + 4 + 6 + 8 + 12 + 13 + 16 + 24 + 26 + 39 + 48 + 52 + 78 + 104 + 156 + 208 + 312 + 416 + 624 + 1248 = 3408</p>
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<p><strong>The<a>sum</a>of factors of 1248:</strong>1 + 2 + 3 + 4 + 6 + 8 + 12 + 13 + 16 + 24 + 26 + 39 + 48 + 52 + 78 + 104 + 156 + 208 + 312 + 416 + 624 + 1248 = 3408</p>
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<h2>How to Find Factors of 1248?</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><h2>Finding Factors Using Multiplication</h2>
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<p>To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1248. Identifying the numbers which are multiplied to get the number 1248 is the multiplication method.</p>
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<p><strong>Step 1:</strong>Multiply 1248 by 1, 1248 × 1 = 1248.</p>
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<p><strong>Step 2:</strong>Check for other numbers that give 1248 after multiplying</p>
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<p>2 × 624 = 1248</p>
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<p>3 × 416 = 1248</p>
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<p>4 × 312 = 1248</p>
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<p>6 × 208 = 1248</p>
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<p>8 × 156 = 1248</p>
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<p>12 × 104 = 1248</p>
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<p>13 × 96 = 1248</p>
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<p>16 × 78 = 1248</p>
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<p>24 × 52 = 1248</p>
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<p>26 × 48 = 1248</p>
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<p>39 × 32 = 1248</p>
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<p>Therefore, the positive factor pairs of 1248 are: (1, 1248), (2, 624), (3, 416), (4, 312), (6, 208), (8, 156), (12, 104), (13, 96), (16, 78), (24, 52), (26, 48), (32, 39). 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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<h2>Finding Factors Using Division Method</h2>
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<p>Dividing the given numbers with the<a>whole numbers</a>until the remainder becomes zero and listing out the numbers which result as a 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 1248 by 1, 1248 ÷ 1 = 1248.</p>
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<p><strong>Step 2:</strong>Continue dividing 1248 by the numbers until the remainder becomes 0.</p>
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<p>1248 ÷ 1 = 1248</p>
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<p>1248 ÷ 2 = 624</p>
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<p>1248 ÷ 3 = 416</p>
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<p>1248 ÷ 4 = 312</p>
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<p>1248 ÷ 6 = 208</p>
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<p>1248 ÷ 8 = 156</p>
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<p>1248 ÷ 12 = 104</p>
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<p>1248 ÷ 13 = 96</p>
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<p>1248 ÷ 16 = 78</p>
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<p>1248 ÷ 24 = 52</p>
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<p>1248 ÷ 26 = 48</p>
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<p>1248 ÷ 32 = 39</p>
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<p>Therefore, the factors of 1248 are: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.</p>
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<h2>Prime Factors and Prime Factorization</h2>
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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><strong>Using Prime Factorization:</strong>In this process, prime factors of 1248 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>1248 ÷ 2 = 624</p>
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<p>624 ÷ 2 = 312</p>
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<p>312 ÷ 2 = 156</p>
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<p>156 ÷ 2 = 78</p>
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<p>78 ÷ 2 = 39</p>
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<p>39 ÷ 3 = 13</p>
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<p>13 ÷ 13 = 1</p>
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<p>The prime factors of 1248 are 2, 3, and 13. The prime factorization of 1248 is: 2^4 × 3 × 13.</p>
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<h2>Factor Tree</h2>
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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, 1248 is divided by 2 to get 624.</p>
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<p><strong>Step 2:</strong>Now divide 624 by 2 to get 312.</p>
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<p><strong>Step 3:</strong>Then divide 312 by 2 to get 156.</p>
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<p><strong>Step 4:</strong>Divide 156 by 2 to get 78.</p>
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<p><strong>Step 5:</strong>Divide 78 by 2 to get 39.</p>
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<p>Step 6: Divide 39 by 3 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1248 is: 24 × 3 × 13.</p>
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<p><strong>Factor Pairs:</strong>Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.</p>
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<ul><li>Positive factor pairs of 1248: (1, 1248), (2, 624), (3, 416), (4, 312), (6, 208), (8, 156), (12, 104), (13, 96), (16, 78), (24, 52), (26, 48), (32, 39).</li>
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</ul><ul><li>Negative factor pairs of 1248: (-1, -1248), (-2, -624), (-3, -416), (-4, -312), (-6, -208), (-8, -156), (-12, -104), (-13, -96), (-16, -78), (-24, -52), (-26, -48), (-32, -39).</li>
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</ul><h2>Common Mistakes and How to Avoid Them in Factors of 1248</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 16 tables and 1248 chairs. How will they arrange the chairs equally?</p>
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<p>Okay, lets begin</p>
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<p>They will arrange 78 chairs per table.</p>
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<h3>Explanation</h3>
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<p>To arrange the chairs equally, we need to divide the total chairs by the number of tables.</p>
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<p>1248/16 = 78</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 13 meters, and the total area is 1248 square meters. Find the width?</p>
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<p>Okay, lets begin</p>
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<p>96 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>1248 = 13 × width</p>
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<p>To find the value of width, we need to shift 13 to the left side.</p>
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<p>1248/13 = width</p>
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<p>Width = 96.</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<p>There are 39 baskets and 1248 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 32 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>1248/39 = 32</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<p>In a seminar, there are 1248 participants, and 26 groups. How many participants are there in each group?</p>
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<p>Okay, lets begin</p>
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<p>There are 48 participants in each group.</p>
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<h3>Explanation</h3>
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<p>Dividing the participants by the total groups, we will get the number of participants in each group.</p>
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<p>1248/26 = 48</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<p>1248 books need to be arranged in 24 shelves. How many books will go on each shelf?</p>
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<p>Okay, lets begin</p>
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<p>Each of the shelves has 52 books.</p>
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<h3>Explanation</h3>
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<p>Divide total books by shelves.</p>
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<p>1248/24 = 52</p>
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<p>Well explained 👍</p>
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<h2>FAQs on Factors of 1248</h2>
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<h3>1.What are the factors of 1248?</h3>
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<p>1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248 are the factors of 1248.</p>
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<h3>2.Mention the prime factors of 1248.</h3>
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<p>The prime factors of 1248 are 24 × 3 × 13.</p>
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<h3>3.Is 1248 a multiple of 4?</h3>
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<h3>4.Mention the factor pairs of 1248?</h3>
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<p>(1, 1248), (2, 624), (3, 416), (4, 312), (6, 208), (8, 156), (12, 104), (13, 96), (16, 78), (24, 52), (26, 48), (32, 39) are the factor pairs of 1248.</p>
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<h3>5.What is the square of 1248?</h3>
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<p>The<a>square</a>of 1248 is 1,557,504.</p>
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<h2>Important Glossaries for Factor of 1248</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 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, and 1248.</li>
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</ul><ul><li><strong>Prime factors:</strong>The factors which are prime numbers. For example, 2, 3, and 13 are prime factors of 1248.</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 1248 are (1, 1248), (2, 624), etc.</li>
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</ul><ul><li><strong>Prime factorization:</strong>The process of expressing a number as the product of its prime factors. For 1248, it is 24 × 3 × 13.</li>
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</ul><ul><li><strong>Multiples:</strong>The result of multiplying a number by an integer. For example, 1248 is a multiple of 4.</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>