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Original
2026-01-01
Modified
2026-02-21
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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, 1728 is divided by 2 to get 864.</p>
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<p><strong>Step 1:</strong>Firstly, 1728 is divided by 2 to get 864.</p>
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<p><strong>Step 2:</strong>Now divide 864 by 2 to get 432.</p>
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<p><strong>Step 2:</strong>Now divide 864 by 2 to get 432.</p>
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<p><strong>Step 3:</strong>Then divide 432 by 2 to get 216.</p>
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<p><strong>Step 3:</strong>Then divide 432 by 2 to get 216.</p>
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<p><strong>Step 4:</strong>Divide 216 by 2 to get 108.</p>
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<p><strong>Step 4:</strong>Divide 216 by 2 to get 108.</p>
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<p><strong>Step 5:</strong>Divide 108 by 2 to get 54.</p>
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<p><strong>Step 5:</strong>Divide 108 by 2 to get 54.</p>
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<p><strong>Step 6:</strong>Divide 54 by 2 to get 27.</p>
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<p><strong>Step 6:</strong>Divide 54 by 2 to get 27.</p>
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<p><strong>Step 7:</strong>Divide 27 by 3 to get 9.</p>
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<p><strong>Step 7:</strong>Divide 27 by 3 to get 9.</p>
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<p><strong>Step 8:</strong>Divide 9 by 3 to get 3. Here, 3 is the smallest prime number, which cannot be divided anymore. So, the prime factorization of 1728 is: 26 × 33.</p>
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<p><strong>Step 8:</strong>Divide 9 by 3 to get 3. Here, 3 is the smallest prime number, which cannot be divided anymore. So, the prime factorization of 1728 is: 26 × 33.</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 1728: (1, 1728), (2, 864), (3, 576), (4, 432), (6, 288), (8, 216), (9, 192), (12, 144), (16, 108), (18, 96), (24, 72), (27, 64), (32, 54), (36, 48).</p>
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<p>Positive factor pairs of 1728: (1, 1728), (2, 864), (3, 576), (4, 432), (6, 288), (8, 216), (9, 192), (12, 144), (16, 108), (18, 96), (24, 72), (27, 64), (32, 54), (36, 48).</p>
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<p>Negative factor pairs of 1728: (-1, -1728), (-2, -864), (-3, -576), (-4, -432), (-6, -288), (-8, -216), (-9, -192), (-12, -144), (-16, -108), (-18, -96), (-24, -72), (-27, -64), (-32, -54), (-36, -48).</p>
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<p>Negative factor pairs of 1728: (-1, -1728), (-2, -864), (-3, -576), (-4, -432), (-6, -288), (-8, -216), (-9, -192), (-12, -144), (-16, -108), (-18, -96), (-24, -72), (-27, -64), (-32, -54), (-36, -48).</p>
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