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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, 1792 is divided by 2 to get 896.</p>
2 <p><strong>Step 1:</strong>Firstly, 1792 is divided by 2 to get 896.</p>
3 <p><strong>Step 2:</strong>Now divide 896 by 2 to get 448.</p>
3 <p><strong>Step 2:</strong>Now divide 896 by 2 to get 448.</p>
4 <p><strong>Step 3:</strong>Then divide 448 by 2 to get 224.</p>
4 <p><strong>Step 3:</strong>Then divide 448 by 2 to get 224.</p>
5 <p><strong>Step 4:</strong>Divide 224 by 2 to get 112.</p>
5 <p><strong>Step 4:</strong>Divide 224 by 2 to get 112.</p>
6 <p><strong>Step 5:</strong>Divide 112 by 2 to get 56.</p>
6 <p><strong>Step 5:</strong>Divide 112 by 2 to get 56.</p>
7 <p><strong>Step 6:</strong>Divide 56 by 2 to get 28.</p>
7 <p><strong>Step 6:</strong>Divide 56 by 2 to get 28.</p>
8 <p><strong>Step 7:</strong>Divide 28 by 2 to get 14.</p>
8 <p><strong>Step 7:</strong>Divide 28 by 2 to get 14.</p>
9 <p><strong>Step 8:</strong>Divide 14 by 2 to get 7.</p>
9 <p><strong>Step 8:</strong>Divide 14 by 2 to get 7.</p>
10 <p>Here, 7 is the smallest prime number that cannot be divided anymore.</p>
10 <p>Here, 7 is the smallest prime number that cannot be divided anymore.</p>
11 <p>So, the prime factorization of 1792 is: 2^8 × 7.</p>
11 <p>So, the prime factorization of 1792 is: 2^8 × 7.</p>
12 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
12 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
13 <p>Both positive and negative factors constitute factor pairs.</p>
13 <p>Both positive and negative factors constitute factor pairs.</p>
14 <p>Positive factor pairs of 1792: (1, 1792), (2, 896), (4, 448), (8, 224), (16, 112), and (32, 56).</p>
14 <p>Positive factor pairs of 1792: (1, 1792), (2, 896), (4, 448), (8, 224), (16, 112), and (32, 56).</p>
15 <p>Negative factor pairs of 1792: (-1, -1792), (-2, -896), (-4, -448), (-8, -224), (-16, -112), and (-32, -56).</p>
15 <p>Negative factor pairs of 1792: (-1, -1792), (-2, -896), (-4, -448), (-8, -224), (-16, -112), and (-32, -56).</p>
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