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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, 8000 is divided by 2 to get 4000.</p>
2 <p><strong>Step 1:</strong>Firstly, 8000 is divided by 2 to get 4000.</p>
3 <p><strong>Step 2:</strong>Now divide 4000 by 2 to get 2000.</p>
3 <p><strong>Step 2:</strong>Now divide 4000 by 2 to get 2000.</p>
4 <p><strong>Step 3:</strong>Then divide 2000 by 2 to get 1000.</p>
4 <p><strong>Step 3:</strong>Then divide 2000 by 2 to get 1000.</p>
5 <p><strong>Step 4:</strong>Divide 1000 by 2 to get 500.</p>
5 <p><strong>Step 4:</strong>Divide 1000 by 2 to get 500.</p>
6 <p><strong>Step 5:</strong>Divide 500 by 2 to get 250.</p>
6 <p><strong>Step 5:</strong>Divide 500 by 2 to get 250.</p>
7 <p><strong>Step 6:</strong>Divide 250 by 2 to get 125.</p>
7 <p><strong>Step 6:</strong>Divide 250 by 2 to get 125.</p>
8 <p><strong>Step 7:</strong>Divide 125 by 5 to get 25.</p>
8 <p><strong>Step 7:</strong>Divide 125 by 5 to get 25.</p>
9 <p><strong>Step 8:</strong>Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.</p>
9 <p><strong>Step 8:</strong>Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.</p>
10 <p>So, the prime factorization of 8000 is: 2^6 × 5^3.</p>
10 <p>So, the prime factorization of 8000 is: 2^6 × 5^3.</p>
11 <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>
11 <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>
12 <p>Positive factor pairs of 8000: (1, 8000), (2, 4000), (4, 2000), (5, 1600), (8, 1000), (10, 800), (16, 500), (20, 400), (25, 320), (32, 250), (40, 200), (50, 160), (64, 125), and (80, 100).</p>
12 <p>Positive factor pairs of 8000: (1, 8000), (2, 4000), (4, 2000), (5, 1600), (8, 1000), (10, 800), (16, 500), (20, 400), (25, 320), (32, 250), (40, 200), (50, 160), (64, 125), and (80, 100).</p>
13 <p>Negative factor pairs of 8000: (-1, -8000), (-2, -4000), (-4, -2000), (-5, -1600), (-8, -1000), (-10, -800), (-16, -500), (-20, -400), (-25, -320), (-32, -250), (-40, -200), (-50, -160), (-64, -125), and (-80, -100).</p>
13 <p>Negative factor pairs of 8000: (-1, -8000), (-2, -4000), (-4, -2000), (-5, -1600), (-8, -1000), (-10, -800), (-16, -500), (-20, -400), (-25, -320), (-32, -250), (-40, -200), (-50, -160), (-64, -125), and (-80, -100).</p>
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