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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, 3675 is divided by 3 to get 1225.</p>
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<p><strong>Step 1:</strong>Firstly, 3675 is divided by 3 to get 1225.</p>
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<p><strong>Step 2:</strong>Now divide 1225 by 5 to get 245.</p>
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<p><strong>Step 2:</strong>Now divide 1225 by 5 to get 245.</p>
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<p><strong>Step 3:</strong>Then divide 245 by 5 to get 49.</p>
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<p><strong>Step 3:</strong>Then divide 245 by 5 to get 49.</p>
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<p><strong>Step 4:</strong>Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3675 is: 3 × 52 × 72.</p>
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<p><strong>Step 4:</strong>Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3675 is: 3 × 52 × 72.</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 3675:</strong>(1, 3675), (3, 1225), (5, 735), (7, 525), (15, 245), (21, 175), (25, 147), (35, 105), (49, 75).</p>
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<p><strong>Positive factor pairs of 3675:</strong>(1, 3675), (3, 1225), (5, 735), (7, 525), (15, 245), (21, 175), (25, 147), (35, 105), (49, 75).</p>
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<p><strong>Negative factor pairs of 3675:</strong>(-1, -3675), (-3, -1225), (-5, -735), (-7, -525), (-15, -245), (-21, -175), (-25, -147), (-35, -105), (-49, -75).</p>
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<p><strong>Negative factor pairs of 3675:</strong>(-1, -3675), (-3, -1225), (-5, -735), (-7, -525), (-15, -245), (-21, -175), (-25, -147), (-35, -105), (-49, -75).</p>
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