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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, 2880 is divided by 2 to get 1440.</p>
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<p><strong>Step 1:</strong>Firstly, 2880 is divided by 2 to get 1440.</p>
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<p><strong>Step 2:</strong>Now divide 1440 by 2 to get 720.</p>
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<p><strong>Step 2:</strong>Now divide 1440 by 2 to get 720.</p>
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<p><strong>Step 3:</strong>Then divide 720 by 2 to get 360.</p>
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<p><strong>Step 3:</strong>Then divide 720 by 2 to get 360.</p>
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<p><strong>Step 4:</strong>Divide 360 by 2 to get 180.</p>
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<p><strong>Step 4:</strong>Divide 360 by 2 to get 180.</p>
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<p><strong>Step 5:</strong>Divide 180 by 2 to get 90.</p>
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<p><strong>Step 5:</strong>Divide 180 by 2 to get 90.</p>
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<p><strong>Step 6:</strong>Divide 90 by 2 to get 45.</p>
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<p><strong>Step 6:</strong>Divide 90 by 2 to get 45.</p>
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<p><strong>Step 7:</strong>Divide 45 by 3 to get 15.</p>
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<p><strong>Step 7:</strong>Divide 45 by 3 to get 15.</p>
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<p><strong>Step 8:</strong>Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 2880 is: 26 × 32 × 5.</p>
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<p><strong>Step 8:</strong>Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 2880 is: 26 × 32 × 5.</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 2880:</strong>(1, 2880), (2, 1440), (3, 960), (4, 720), (5, 576), (6, 480), (8, 360), (9, 320), (10, 288), (12, 240), (15, 192), (16, 180), (18, 160), (20, 144), (24, 120), (30, 96), (32, 90), (36, 80), (40, 72), (45, 64), and (48, 60).</p>
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<p><strong>Positive factor pairs of 2880:</strong>(1, 2880), (2, 1440), (3, 960), (4, 720), (5, 576), (6, 480), (8, 360), (9, 320), (10, 288), (12, 240), (15, 192), (16, 180), (18, 160), (20, 144), (24, 120), (30, 96), (32, 90), (36, 80), (40, 72), (45, 64), and (48, 60).</p>
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<p><strong>Negative factor pairs of 2880:</strong>(-1, -2880), (-2, -1440), (-3, -960), (-4, -720), (-5, -576), (-6, -480), (-8, -360), (-9, -320), (-10, -288), (-12, -240), (-15, -192), (-16, -180), (-18, -160), (-20, -144), (-24, -120), (-30, -96), (-32, -90), (-36, -80), (-40, -72), (-45, -64), and (-48, -60).</p>
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<p><strong>Negative factor pairs of 2880:</strong>(-1, -2880), (-2, -1440), (-3, -960), (-4, -720), (-5, -576), (-6, -480), (-8, -360), (-9, -320), (-10, -288), (-12, -240), (-15, -192), (-16, -180), (-18, -160), (-20, -144), (-24, -120), (-30, -96), (-32, -90), (-36, -80), (-40, -72), (-45, -64), and (-48, -60).</p>
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