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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, 11025 is divided by 3 to get 3675.</p>
2 <p><strong>Step 1:</strong>Firstly, 11025 is divided by 3 to get 3675.</p>
3 <p><strong>Step 2:</strong>Now divide 3675 by 3 to get 1225.</p>
3 <p><strong>Step 2:</strong>Now divide 3675 by 3 to get 1225.</p>
4 <p><strong>Step 3:</strong>Then divide 1225 by 5 to get 245.</p>
4 <p><strong>Step 3:</strong>Then divide 1225 by 5 to get 245.</p>
5 <p><strong>Step 4:</strong>Divide 245 by 5 to get 49.</p>
5 <p><strong>Step 4:</strong>Divide 245 by 5 to get 49.</p>
6 <p><strong>Step 5:</strong>Divide 49 by 7 to get 7.</p>
6 <p><strong>Step 5:</strong>Divide 49 by 7 to get 7.</p>
7 <p>Here, 7 is the smallest prime number that cannot be divided anymore.</p>
7 <p>Here, 7 is the smallest prime number that cannot be divided anymore.</p>
8 <p>So, the prime factorization of 11025 is: 3² × 5² × 7².</p>
8 <p>So, the prime factorization of 11025 is: 3² × 5² × 7².</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 11025: (1, 11025), (3, 3675), (5, 2205), (9, 1225), (15, 735), (25, 441), (27, 407), (45, 245), (75, 147), and (81, 135).</p>
11 <p>Positive factor pairs of 11025: (1, 11025), (3, 3675), (5, 2205), (9, 1225), (15, 735), (25, 441), (27, 407), (45, 245), (75, 147), and (81, 135).</p>
12 <p>Negative factor pairs of 11025: (-1, -11025), (-3, -3675), (-5, -2205), (-9, -1225), (-15, -735), (-25, -441), (-27, -407), (-45, -245), (-75, -147), and (-81, -135).</p>
12 <p>Negative factor pairs of 11025: (-1, -11025), (-3, -3675), (-5, -2205), (-9, -1225), (-15, -735), (-25, -441), (-27, -407), (-45, -245), (-75, -147), and (-81, -135).</p>
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