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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, 18000 is divided by 2 to get 9000.</p>
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<p><strong>Step 1:</strong>Firstly, 18000 is divided by 2 to get 9000.</p>
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<p><strong>Step 2:</strong>Now divide 9000 by 2 to get 4500.</p>
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<p><strong>Step 2:</strong>Now divide 9000 by 2 to get 4500.</p>
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<p><strong>Step 3:</strong>Then divide 4500 by 2 to get 2250.</p>
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<p><strong>Step 3:</strong>Then divide 4500 by 2 to get 2250.</p>
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<p><strong>Step 4:</strong>Divide 2250 by 2 to get 1125.</p>
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<p><strong>Step 4:</strong>Divide 2250 by 2 to get 1125.</p>
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<p><strong>Step 5:</strong>Now divide 1125 by 3 to get 375.</p>
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<p><strong>Step 5:</strong>Now divide 1125 by 3 to get 375.</p>
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<p><strong>Step 6:</strong>Divide 375 by 3 to get 125.</p>
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<p><strong>Step 6:</strong>Divide 375 by 3 to get 125.</p>
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<p><strong>Step 7:</strong>Then divide 125 by 5 to get 25.</p>
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<p><strong>Step 7:</strong>Then divide 125 by 5 to get 25.</p>
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<p><strong>Step 8:</strong>Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 18000 is: 2³ × 3² × 5³.</p>
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<p><strong>Step 8:</strong>Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 18000 is: 2³ × 3² × 5³.</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 18000:</strong>(1, 18000), (2, 9000), (3, 6000), (4, 4500), (5, 3600), (6, 3000), (8, 2250), (9, 2000), (10, 1800), (12, 1500), (15, 1200), (18, 1000), (20, 900), (24, 750), (25, 720), (30, 600), (36, 500), (40, 450), (45, 400), (50, 360), (60, 300), (72, 250), (75, 240), (90, 200), (100, 180), (120, 150).</p>
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<p><strong>Positive factor pairs of 18000:</strong>(1, 18000), (2, 9000), (3, 6000), (4, 4500), (5, 3600), (6, 3000), (8, 2250), (9, 2000), (10, 1800), (12, 1500), (15, 1200), (18, 1000), (20, 900), (24, 750), (25, 720), (30, 600), (36, 500), (40, 450), (45, 400), (50, 360), (60, 300), (72, 250), (75, 240), (90, 200), (100, 180), (120, 150).</p>
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<p><strong>Negative factor pairs of 18000:</strong>(-1, -18000), (-2, -9000), (-3, -6000), (-4, -4500), (-5, -3600), (-6, -3000), (-8, -2250), (-9, -2000), (-10, -1800), (-12, -1500), (-15, -1200), (-18, -1000), (-20, -900), (-24, -750), (-25, -720), (-30, -600), (-36, -500), (-40, -450), (-45, -400), (-50, -360), (-60, -300), (-72, -250), (-75, -240), (-90, -200), (-100, -180), (-120, -150).</p>
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<p><strong>Negative factor pairs of 18000:</strong>(-1, -18000), (-2, -9000), (-3, -6000), (-4, -4500), (-5, -3600), (-6, -3000), (-8, -2250), (-9, -2000), (-10, -1800), (-12, -1500), (-15, -1200), (-18, -1000), (-20, -900), (-24, -750), (-25, -720), (-30, -600), (-36, -500), (-40, -450), (-45, -400), (-50, -360), (-60, -300), (-72, -250), (-75, -240), (-90, -200), (-100, -180), (-120, -150).</p>
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