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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 steps show -</p>
1 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -</p>
2 <p><strong>Step 1:</strong>Firstly, 2268 is divided by 2 to get 1134.</p>
2 <p><strong>Step 1:</strong>Firstly, 2268 is divided by 2 to get 1134.</p>
3 <p><strong>Step 2:</strong>Now divide 1134 by 2 to get 567.</p>
3 <p><strong>Step 2:</strong>Now divide 1134 by 2 to get 567.</p>
4 <p><strong>Step 3:</strong>Then divide 567 by 3 to get 189.</p>
4 <p><strong>Step 3:</strong>Then divide 567 by 3 to get 189.</p>
5 <p><strong>Step 4:</strong>Divide 189 by 3 to get 63.</p>
5 <p><strong>Step 4:</strong>Divide 189 by 3 to get 63.</p>
6 <p><strong>Step 5:</strong>Divide 63 by 3 to get 21.</p>
6 <p><strong>Step 5:</strong>Divide 63 by 3 to get 21.</p>
7 <p><strong>Step 6:</strong>Finally, divide 21 by 3 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore.</p>
7 <p><strong>Step 6:</strong>Finally, divide 21 by 3 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore.</p>
8 <p>So, the prime factorization of 2268 is: 2² × 3^4 × 7.</p>
8 <p>So, the prime factorization of 2268 is: 2² × 3^4 × 7.</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 2268: (1, 2268), (2, 1134), (3, 756), (4, 567), (6, 378), (9, 252), (12, 189), (18, 126), (27, 84), (36, 63), (42, 54).</p>
11 <p>Positive factor pairs of 2268: (1, 2268), (2, 1134), (3, 756), (4, 567), (6, 378), (9, 252), (12, 189), (18, 126), (27, 84), (36, 63), (42, 54).</p>
12 <p>Negative factor pairs of 2268: (-1, -2268), (-2, -1134), (-3, -756), (-4, -567), (-6, -378), (-9, -252), (-12, -189), (-18, -126), (-27, -84), (-36, -63), (-42, -54).</p>
12 <p>Negative factor pairs of 2268: (-1, -2268), (-2, -1134), (-3, -756), (-4, -567), (-6, -378), (-9, -252), (-12, -189), (-18, -126), (-27, -84), (-36, -63), (-42, -54).</p>
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