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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, 2112 is divided by 2 to get 1056.</p>
2 <p><strong>Step 1:</strong>Firstly, 2112 is divided by 2 to get 1056.</p>
3 <p><strong>Step 2:</strong>Now divide 1056 by 2 to get 528.</p>
3 <p><strong>Step 2:</strong>Now divide 1056 by 2 to get 528.</p>
4 <p><strong>Step 3:</strong>Then divide 528 by 2 to get 264.</p>
4 <p><strong>Step 3:</strong>Then divide 528 by 2 to get 264.</p>
5 <p><strong>Step 4:</strong>Divide 264 by 2 to get 132.</p>
5 <p><strong>Step 4:</strong>Divide 264 by 2 to get 132.</p>
6 <p><strong>Step 5:</strong>Divide 132 by 2 to get 66.</p>
6 <p><strong>Step 5:</strong>Divide 132 by 2 to get 66.</p>
7 <p><strong>Step 6:</strong>Divide 66 by 2 to get 33.</p>
7 <p><strong>Step 6:</strong>Divide 66 by 2 to get 33.</p>
8 <p><strong>Step 7:</strong>Divide 33 by 3 to get 11.</p>
8 <p><strong>Step 7:</strong>Divide 33 by 3 to get 11.</p>
9 <p>Here, 11 is the smallest prime number that cannot be divided anymore.</p>
9 <p>Here, 11 is the smallest prime number that cannot be divided anymore.</p>
10 <p>So, the prime factorization of 2112 is: 2^6 × 3 × 11.</p>
10 <p>So, the prime factorization of 2112 is: 2^6 × 3 × 11.</p>
11 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
11 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
12 <p>Both positive and negative factors constitute factor pairs.</p>
12 <p>Both positive and negative factors constitute factor pairs.</p>
13 <p>Positive factor pairs of 2112: (1, 2112), (2, 1056), (3, 704), (4, 528), (6, 352), (8, 264), (12, 176), (16, 132), (24, 88), (32, 66), and (48, 44).</p>
13 <p>Positive factor pairs of 2112: (1, 2112), (2, 1056), (3, 704), (4, 528), (6, 352), (8, 264), (12, 176), (16, 132), (24, 88), (32, 66), and (48, 44).</p>
14 <p>Negative factor pairs of 2112: (-1, -2112), (-2, -1056), (-3, -704), (-4, -528), (-6, -352), (-8, -264), (-12, -176), (-16, -132), (-24, -88), (-32, -66), and (-48, -44).</p>
14 <p>Negative factor pairs of 2112: (-1, -2112), (-2, -1056), (-3, -704), (-4, -528), (-6, -352), (-8, -264), (-12, -176), (-16, -132), (-24, -88), (-32, -66), and (-48, -44).</p>
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