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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, 2100 is divided by 2 to get 1050.</p>
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<p><strong>Step 1:</strong>Firstly, 2100 is divided by 2 to get 1050.</p>
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<p><strong>Step 2:</strong>Now divide 1050 by 2 to get 525.</p>
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<p><strong>Step 2:</strong>Now divide 1050 by 2 to get 525.</p>
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<p><strong>Step 3:</strong>Then divide 525 by 3 to get 175.</p>
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<p><strong>Step 3:</strong>Then divide 525 by 3 to get 175.</p>
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<p><strong>Step 4:</strong>Divide 175 by 5 to get 35.</p>
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<p><strong>Step 4:</strong>Divide 175 by 5 to get 35.</p>
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<p><strong>Step 5:</strong>Divide 35 by 5 to get 7.</p>
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<p><strong>Step 5:</strong>Divide 35 by 5 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 2100 is: 2² × 3 × 5² × 7.</p>
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<p>So, the prime factorization of 2100 is: 2² × 3 × 5² × 7.</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 2100: (1, 2100), (2, 1050), (3, 700), (4, 525), (5, 420), (6, 350), (7, 300), (10, 210), (12, 175), (14, 150), (15, 140), (20, 105), (21, 100), (25, 84), (28, 75), (30, 70), (35, 60), (42, 50).</p>
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<p>Positive factor pairs of 2100: (1, 2100), (2, 1050), (3, 700), (4, 525), (5, 420), (6, 350), (7, 300), (10, 210), (12, 175), (14, 150), (15, 140), (20, 105), (21, 100), (25, 84), (28, 75), (30, 70), (35, 60), (42, 50).</p>
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<p>Negative factor pairs of 2100: (-1, -2100), (-2, -1050), (-3, -700), (-4, -525), (-5, -420), (-6, -350), (-7, -300), (-10, -210), (-12, -175), (-14, -150), (-15, -140), (-20, -105), (-21, -100), (-25, -84), (-28, -75), (-30, -70), (-35, -60), (-42, -50).</p>
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<p>Negative factor pairs of 2100: (-1, -2100), (-2, -1050), (-3, -700), (-4, -525), (-5, -420), (-6, -350), (-7, -300), (-10, -210), (-12, -175), (-14, -150), (-15, -140), (-20, -105), (-21, -100), (-25, -84), (-28, -75), (-30, -70), (-35, -60), (-42, -50).</p>
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