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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, 3400 is divided by 2 to get 1700.</p>
2 <p><strong>Step 1:</strong>Firstly, 3400 is divided by 2 to get 1700.</p>
3 <p><strong>Step 2:</strong>Now divide 1700 by 2 to get 850.</p>
3 <p><strong>Step 2:</strong>Now divide 1700 by 2 to get 850.</p>
4 <p><strong>Step 3:</strong>Then divide 850 by 2 to get 425.</p>
4 <p><strong>Step 3:</strong>Then divide 850 by 2 to get 425.</p>
5 <p><strong>Step 4:</strong>Divide 425 by 5 to get 85.</p>
5 <p><strong>Step 4:</strong>Divide 425 by 5 to get 85.</p>
6 <p><strong>Step 5</strong>: Divide 85 by 5 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3400 is: 2^2 × 5^2 × 17.</p>
6 <p><strong>Step 5</strong>: Divide 85 by 5 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3400 is: 2^2 × 5^2 × 17.</p>
7 <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>
7 <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>
8 <p><strong>Positive factor pairs of 3400:</strong>(1, 3400), (2, 1700), (4, 850), (5, 680), (10, 340), (20, 170), (25, 136), (34, 100), and (50, 68).</p>
8 <p><strong>Positive factor pairs of 3400:</strong>(1, 3400), (2, 1700), (4, 850), (5, 680), (10, 340), (20, 170), (25, 136), (34, 100), and (50, 68).</p>
9 <p><strong>Negative factor pairs of 3400:</strong>(-1, -3400), (-2, -1700), (-4, -850), (-5, -680), (-10, -340), (-20, -170), (-25, -136), (-34, -100), and (-50, -68).</p>
9 <p><strong>Negative factor pairs of 3400:</strong>(-1, -3400), (-2, -1700), (-4, -850), (-5, -680), (-10, -340), (-20, -170), (-25, -136), (-34, -100), and (-50, -68).</p>
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