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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, 3072 is divided by 2 to get 1536.</p>
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<p><strong>Step 1:</strong>Firstly, 3072 is divided by 2 to get 1536.</p>
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<p><strong>Step 2:</strong>Now divide 1536 by 2 to get 768.</p>
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<p><strong>Step 2:</strong>Now divide 1536 by 2 to get 768.</p>
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<p><strong>Step 3:</strong>Then divide 768 by 2 to get 384.</p>
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<p><strong>Step 3:</strong>Then divide 768 by 2 to get 384.</p>
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<p><strong>Step 4:</strong>Divide 384 by 2 to get 192.</p>
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<p><strong>Step 4:</strong>Divide 384 by 2 to get 192.</p>
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<p><strong>Step 5:</strong>Continue dividing by 2 until you reach 6.</p>
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<p><strong>Step 5:</strong>Continue dividing by 2 until you reach 6.</p>
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<p><strong>Step 6:</strong>Divide 6 by 2 to get 3. Here, 3 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 3072 is: 2^10 × 3.</p>
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<p><strong>Step 6:</strong>Divide 6 by 2 to get 3. Here, 3 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 3072 is: 2^10 × 3.</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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<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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<p><strong>Positive factor pairs of 3072:</strong>(1, 3072), (2, 1536), (3, 1024), (4, 768), (6, 512), (8, 384), (12, 256), (16, 192), (24, 128), (32, 96), (48, 64).</p>
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<p><strong>Positive factor pairs of 3072:</strong>(1, 3072), (2, 1536), (3, 1024), (4, 768), (6, 512), (8, 384), (12, 256), (16, 192), (24, 128), (32, 96), (48, 64).</p>
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<p><strong>Negative factor pairs of 3072:</strong>(-1, -3072), (-2, -1536), (-3, -1024), (-4, -768), (-6, -512), (-8, -384), (-12, -256), (-16, -192), (-24, -128), (-32, -96), (-48, -64).</p>
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<p><strong>Negative factor pairs of 3072:</strong>(-1, -3072), (-2, -1536), (-3, -1024), (-4, -768), (-6, -512), (-8, -384), (-12, -256), (-16, -192), (-24, -128), (-32, -96), (-48, -64).</p>
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