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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 steps show -</p>
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<p>The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -</p>
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<p><strong>Step 1:</strong>Firstly, 11664 is divided by 2 to get 5832.</p>
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<p><strong>Step 1:</strong>Firstly, 11664 is divided by 2 to get 5832.</p>
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<p><strong>Step 2:</strong>Now divide 5832 by 2 to get 2916.</p>
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<p><strong>Step 2:</strong>Now divide 5832 by 2 to get 2916.</p>
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<p><strong>Step 3:</strong>Then divide 2916 by 2 to get 1458.</p>
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<p><strong>Step 3:</strong>Then divide 2916 by 2 to get 1458.</p>
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<p><strong>Step 4:</strong>Divide 1458 by 2 to get 729.</p>
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<p><strong>Step 4:</strong>Divide 1458 by 2 to get 729.</p>
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<p><strong>Step 5:</strong>Divide 729 by 3 to get 243.</p>
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<p><strong>Step 5:</strong>Divide 729 by 3 to get 243.</p>
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<p><strong>Step 6:</strong>Divide 243 by 3 to get 81.</p>
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<p><strong>Step 6:</strong>Divide 243 by 3 to get 81.</p>
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<p><strong>Step 7:</strong>Divide 81 by 3 to get 27.</p>
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<p><strong>Step 7:</strong>Divide 81 by 3 to get 27.</p>
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<p><strong>Step 8:</strong>Divide 27 by 3 to get 9.</p>
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<p><strong>Step 8:</strong>Divide 27 by 3 to get 9.</p>
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<p><strong>Step 9:</strong>Divide 9 by 3 to get 3.</p>
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<p><strong>Step 9:</strong>Divide 9 by 3 to get 3.</p>
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<p><strong>Step 10:</strong>Finally, 3 is divided by 3 to get 1.</p>
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<p><strong>Step 10:</strong>Finally, 3 is divided by 3 to get 1.</p>
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<p>Here, 2 and 3 are the smallest prime numbers, and they cannot be divided anymore.</p>
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<p>Here, 2 and 3 are the smallest prime numbers, and they cannot be divided anymore.</p>
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<p>So, the prime factorization of 11664 is: 2^6 × 3^6.</p>
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<p>So, the prime factorization of 11664 is: 2^6 × 3^6.</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><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>Both positive and negative factors constitute factor pairs.</p>
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<p>Positive factor pairs of 11664: (1, 11664), (2, 5832), (3, 3888), (4, 2916), (6, 1944), (8, 1458), (9, 1296), (12, 972), (16, 729), (18, 648), (24, 486), (27, 432), (36, 324), (48, 243), (54, 216), (72, 162), (81, 144), and (108, 108).</p>
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<p>Positive factor pairs of 11664: (1, 11664), (2, 5832), (3, 3888), (4, 2916), (6, 1944), (8, 1458), (9, 1296), (12, 972), (16, 729), (18, 648), (24, 486), (27, 432), (36, 324), (48, 243), (54, 216), (72, 162), (81, 144), and (108, 108).</p>
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<p>Negative factor pairs of 11664: (-1, -11664), (-2, -5832), (-3, -3888), (-4, -2916), (-6, -1944), (-8, -1458), (-9, -1296), (-12, -972), (-16, -729), (-18, -648), (-24, -486), (-27, -432), (-36, -324), (-48, -243), (-54, -216), (-72, -162), (-81, -144), and (-108, -108).</p>
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<p>Negative factor pairs of 11664: (-1, -11664), (-2, -5832), (-3, -3888), (-4, -2916), (-6, -1944), (-8, -1458), (-9, -1296), (-12, -972), (-16, -729), (-18, -648), (-24, -486), (-27, -432), (-36, -324), (-48, -243), (-54, -216), (-72, -162), (-81, -144), and (-108, -108).</p>
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