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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, 2187 is divided by 3 to get 729.</p>
2 <p><strong>Step 1:</strong>Firstly, 2187 is divided by 3 to get 729.</p>
3 <p><strong>Step 2:</strong>Now divide 729 by 3 to get 243.</p>
3 <p><strong>Step 2:</strong>Now divide 729 by 3 to get 243.</p>
4 <p><strong>Step 3:</strong>Then divide 243 by 3 to get 81.</p>
4 <p><strong>Step 3:</strong>Then divide 243 by 3 to get 81.</p>
5 <p><strong>Step 4:</strong>Divide 81 by 3 to get 27.</p>
5 <p><strong>Step 4:</strong>Divide 81 by 3 to get 27.</p>
6 <p><strong>Step 5:</strong>Divide 27 by 3 to get 9.</p>
6 <p><strong>Step 5:</strong>Divide 27 by 3 to get 9.</p>
7 <p><strong>Step 6:</strong>Divide 9 by 3 to get 3.</p>
7 <p><strong>Step 6:</strong>Divide 9 by 3 to get 3.</p>
8 <p>Here, 3 is the prime number that cannot be divided further.</p>
8 <p>Here, 3 is the prime number that cannot be divided further.</p>
9 <p>So, the prime factorization of 2187 is: 3^7.</p>
9 <p>So, the prime factorization of 2187 is: 3^7.</p>
10 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
10 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
11 <p>Both positive and negative factors constitute factor pairs.</p>
11 <p>Both positive and negative factors constitute factor pairs.</p>
12 <p>Positive factor pairs of 2187: (1, 2187), (3, 729), (9, 243), (27, 81).</p>
12 <p>Positive factor pairs of 2187: (1, 2187), (3, 729), (9, 243), (27, 81).</p>
13 <p>Negative factor pairs of 2187: (-1, -2187), (-3, -729), (-9, -243), (-27, -81).</p>
13 <p>Negative factor pairs of 2187: (-1, -2187), (-3, -729), (-9, -243), (-27, -81).</p>
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