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Original
2026-01-01
Modified
2026-02-28
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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, 9972 is divided by 2 to get 4986.</p>
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<p><strong>Step 2:</strong>Now divide 4986 by 2 to get 2493.</p>
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<p><strong>Step 3:</strong>Then divide 2493 by 3 to get 831.</p>
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<p><strong>Step 4:</strong>Divide 831 by 3 to get 277.</p>
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<p>Here, 277 is the smallest prime number, that cannot be divided further.</p>
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<p>So, the prime factorization of 9972 is: 2² × 3² × 277.</p>
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<p><strong>Factor Pairs</strong>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>Positive factor pairs of 9972: (1, 9972), (2, 4986), (3, 3324), (4, 2493), (6, 1662), and (12, 831).</p>
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<p>Negative factor pairs of 9972: (-1, -9972), (-2, -4986), (-3, -3324), (-4, -2493), (-6, -1662), and (-12, -831).</p>
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