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Original 2026-01-01
Modified 2026-02-21
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, 1791 is divided by 3 to get 597.</p>
2 <p><strong>Step 1:</strong>Firstly, 1791 is divided by 3 to get 597.</p>
3 <p><strong>Step 2:</strong>Now divide 597 by 3 to get 199.</p>
3 <p><strong>Step 2:</strong>Now divide 597 by 3 to get 199.</p>
4 <p><strong>Step 3:</strong>Then divide 199 by 3 to get 67.</p>
4 <p><strong>Step 3:</strong>Then divide 199 by 3 to get 67.</p>
5 <p><strong>Step 4:</strong>Divide 67 by 7 to get 9.</p>
5 <p><strong>Step 4:</strong>Divide 67 by 7 to get 9.</p>
6 <p><strong>Step 5</strong>: Divide 9 by 3 to get 3.</p>
6 <p><strong>Step 5</strong>: Divide 9 by 3 to get 3.</p>
7 <p>Here, 3 is the smallest prime number, that cannot be divided anymore.</p>
7 <p>Here, 3 is the smallest prime number, that cannot be divided anymore.</p>
8 <p>So, the prime factorization of 1791 is: 3 × 3 × 3 × 7 × 19.</p>
8 <p>So, the prime factorization of 1791 is: 3 × 3 × 3 × 7 × 19.</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 1791: (1, 1791), (3, 597), (7, 255), (9, 199), (21, 85), (27, 67), and (63, 29).</p>
11 <p>Positive factor pairs of 1791: (1, 1791), (3, 597), (7, 255), (9, 199), (21, 85), (27, 67), and (63, 29).</p>
12 <p>Negative factor pairs of 1791: (-1, -1791), (-3, -597), (-7, -255), (-9, -199), (-21, -85), (-27, -67), and (-63, -29).</p>
12 <p>Negative factor pairs of 1791: (-1, -1791), (-3, -597), (-7, -255), (-9, -199), (-21, -85), (-27, -67), and (-63, -29).</p>
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