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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>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, 1456 is divided by 2 to get 728.</p>
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<p><strong>Step 1:</strong>Firstly, 1456 is divided by 2 to get 728.</p>
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<p><strong>Step 2:</strong>Now divide 728 by 2 to get 364.</p>
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<p><strong>Step 2:</strong>Now divide 728 by 2 to get 364.</p>
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<p><strong>Step 3:</strong>Then divide 364 by 2 to get 182.</p>
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<p><strong>Step 3:</strong>Then divide 364 by 2 to get 182.</p>
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<p><strong>Step 4:</strong>Divide 182 by 2 to get 91.</p>
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<p><strong>Step 4:</strong>Divide 182 by 2 to get 91.</p>
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<p><strong>Step 5:</strong>Divide 91 by 13 to get 7.</p>
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<p><strong>Step 5:</strong>Divide 91 by 13 to get 7.</p>
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<p>Here, 7 is the smallest prime number, that cannot be divided anymore.</p>
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<p>Here, 7 is the smallest prime number, that cannot be divided anymore.</p>
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<p>So, the prime factorization of 1456 is: \(2^4 \times 13 \times 29\).</p>
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<p>So, the prime factorization of 1456 is: \(2^4 \times 13 \times 29\).</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 1456: (1, 1456), (2, 728), (4, 364), (8, 182), (13, 112), (16, 91), (26, 56).</p>
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<p>Positive factor pairs of 1456: (1, 1456), (2, 728), (4, 364), (8, 182), (13, 112), (16, 91), (26, 56).</p>
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<p>Negative factor pairs of 1456: (-1, -1456), (-2, -728), (-4, -364), (-8, -182), (-13, -112), (-16, -91), (-26, -56).</p>
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<p>Negative factor pairs of 1456: (-1, -1456), (-2, -728), (-4, -364), (-8, -182), (-13, -112), (-16, -91), (-26, -56).</p>
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