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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, 1824 is divided by 2 to get 912.</p>
2 <p><strong>Step 1:</strong>Firstly, 1824 is divided by 2 to get 912.</p>
3 <p><strong>Step 2:</strong>Now divide 912 by 2 to get 456.</p>
3 <p><strong>Step 2:</strong>Now divide 912 by 2 to get 456.</p>
4 <p><strong>Step 3:</strong>Then divide 456 by 2 to get 228.</p>
4 <p><strong>Step 3:</strong>Then divide 456 by 2 to get 228.</p>
5 <p><strong>Step 4:</strong>Divide 228 by 2 to get 114.</p>
5 <p><strong>Step 4:</strong>Divide 228 by 2 to get 114.</p>
6 <p><strong>Step 5:</strong>Divide 114 by 2 to get 57.</p>
6 <p><strong>Step 5:</strong>Divide 114 by 2 to get 57.</p>
7 <p><strong>Step 6:</strong>Finally, divide 57 by 19 to get 3.</p>
7 <p><strong>Step 6:</strong>Finally, divide 57 by 19 to get 3.</p>
8 <p>Here, 3 is the smallest prime number that cannot be divided anymore.</p>
8 <p>Here, 3 is the smallest prime number that cannot be divided anymore.</p>
9 <p>So, the prime factorization of 1824 is: 2^6 × 19.</p>
9 <p>So, the prime factorization of 1824 is: 2^6 × 19.</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 1824: (1, 1824), (2, 912), (4, 456), (6, 304), (8, 228), (12, 152), (16, 114), (19, 96), (24, 76), (32, 57), (38, 48).</p>
12 <p>Positive factor pairs of 1824: (1, 1824), (2, 912), (4, 456), (6, 304), (8, 228), (12, 152), (16, 114), (19, 96), (24, 76), (32, 57), (38, 48).</p>
13 <p>Negative factor pairs of 1824: (-1, -1824), (-2, -912), (-4, -456), (-6, -304), (-8, -228), (-12, -152), (-16, -114), (-19, -96), (-24, -76), (-32, -57), (-38, -48).</p>
13 <p>Negative factor pairs of 1824: (-1, -1824), (-2, -912), (-4, -456), (-6, -304), (-8, -228), (-12, -152), (-16, -114), (-19, -96), (-24, -76), (-32, -57), (-38, -48).</p>
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