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Original 2026-01-01
Modified 2026-02-28
1 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows</p>
1 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows</p>
2 <p><strong>Step 1:</strong>Firstly, 6000 is divided by 2 to get 3000.</p>
2 <p><strong>Step 1:</strong>Firstly, 6000 is divided by 2 to get 3000.</p>
3 <p><strong>Step 2:</strong>Now divide 3000 by 2 to get 1500.</p>
3 <p><strong>Step 2:</strong>Now divide 3000 by 2 to get 1500.</p>
4 <p><strong>Step 3:</strong>Then divide 1500 by 2 to get 750.</p>
4 <p><strong>Step 3:</strong>Then divide 1500 by 2 to get 750.</p>
5 <p><strong>Step 4:</strong>Divide 750 by 2 to get 375.</p>
5 <p><strong>Step 4:</strong>Divide 750 by 2 to get 375.</p>
6 <p><strong>Step 5:</strong>Divide 375 by 3 to get 125.</p>
6 <p><strong>Step 5:</strong>Divide 375 by 3 to get 125.</p>
7 <p><strong>Step 6:</strong>Divide 125 by 5 to get 25.</p>
7 <p><strong>Step 6:</strong>Divide 125 by 5 to get 25.</p>
8 <p><strong>Step 7:</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 6000 is: 24 × 3 × 53.</p>
8 <p><strong>Step 7:</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 6000 is: 24 × 3 × 53.</p>
9 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
9 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
10 <p>Both positive and negative factors constitute factor pairs.</p>
10 <p>Both positive and negative factors constitute factor pairs.</p>
11 <p>Positive factor pairs of 6000: (1, 6000), (2, 3000), (3, 2000), (4, 1500), (5, 1200), (6, 1000), (8, 750), (10, 600), (12, 500), (15, 400), (16, 375), (20, 300), (24, 250), (25, 240), (30, 200), (40, 150), (48, 125), (50, 120), (60, 100), (75, 80).</p>
11 <p>Positive factor pairs of 6000: (1, 6000), (2, 3000), (3, 2000), (4, 1500), (5, 1200), (6, 1000), (8, 750), (10, 600), (12, 500), (15, 400), (16, 375), (20, 300), (24, 250), (25, 240), (30, 200), (40, 150), (48, 125), (50, 120), (60, 100), (75, 80).</p>
12 <p>Negative factor pairs of 6000: (-1, -6000), (-2, -3000), (-3, -2000), (-4, -1500), (-5, -1200), (-6, -1000), (-8, -750), (-10, -600), (-12, -500), (-15, -400), (-16, -375), (-20, -300), (-24, -250), (-25, -240), (-30, -200), (-40, -150), (-48, -125), (-50, -120), (-60, -100), (-75, -80).</p>
12 <p>Negative factor pairs of 6000: (-1, -6000), (-2, -3000), (-3, -2000), (-4, -1500), (-5, -1200), (-6, -1000), (-8, -750), (-10, -600), (-12, -500), (-15, -400), (-16, -375), (-20, -300), (-24, -250), (-25, -240), (-30, -200), (-40, -150), (-48, -125), (-50, -120), (-60, -100), (-75, -80).</p>
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