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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, 3645 is divided by 3 to get 1215.</p>
2 <p><strong>Step 1:</strong>Firstly, 3645 is divided by 3 to get 1215.</p>
3 <p><strong>Step 2:</strong>Now divide 1215 by 3 to get 405.</p>
3 <p><strong>Step 2:</strong>Now divide 1215 by 3 to get 405.</p>
4 <p><strong>Step 3:</strong>Then divide 405 by 3 to get 135.</p>
4 <p><strong>Step 3:</strong>Then divide 405 by 3 to get 135.</p>
5 <p><strong>Step 4:</strong>Divide 135 by 3 to get 45.</p>
5 <p><strong>Step 4:</strong>Divide 135 by 3 to get 45.</p>
6 <p><strong>Step 5:</strong>Divide 45 by 3 to get 15.</p>
6 <p><strong>Step 5:</strong>Divide 45 by 3 to get 15.</p>
7 <p><strong>Step 6:</strong>Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3645 is: 35 × 5.</p>
7 <p><strong>Step 6:</strong>Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3645 is: 35 × 5.</p>
8 <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>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>
9 <p><strong>Positive factor pairs of 3645:</strong>(1, 3645), (3, 1215), (5, 729), (9, 405), (15, 243), (27, 135), (45, 81).</p>
9 <p><strong>Positive factor pairs of 3645:</strong>(1, 3645), (3, 1215), (5, 729), (9, 405), (15, 243), (27, 135), (45, 81).</p>
10 <p><strong>Negative factor pairs of 3645:</strong>(-1, -3645), (-3, -1215), (-5, -729), (-9, -405), (-15, -243), (-27, -135), (-45, -81).</p>
10 <p><strong>Negative factor pairs of 3645:</strong>(-1, -3645), (-3, -1215), (-5, -729), (-9, -405), (-15, -243), (-27, -135), (-45, -81).</p>
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