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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, 5625 is divided by 3 to get 1875.</p>
2 <p><strong>Step 1:</strong>Firstly, 5625 is divided by 3 to get 1875.</p>
3 <p><strong>Step 2:</strong>Now divide 1875 by 3 to get 625.</p>
3 <p><strong>Step 2:</strong>Now divide 1875 by 3 to get 625.</p>
4 <p><strong>Step 3:</strong>Then divide 625 by 5 to get 125.</p>
4 <p><strong>Step 3:</strong>Then divide 625 by 5 to get 125.</p>
5 <p><strong>Step 4:</strong>Divide 125 by 5 to get 25.</p>
5 <p><strong>Step 4:</strong>Divide 125 by 5 to get 25.</p>
6 <p><strong>Step 5:</strong>Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 5625 is: 3² × 5⁴.</p>
6 <p><strong>Step 5:</strong>Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 5625 is: 3² × 5⁴.</p>
7 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
7 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
8 <p>Both positive and negative factors constitute factor pairs.</p>
8 <p>Both positive and negative factors constitute factor pairs.</p>
9 <p>Positive factor pairs of 5625: (1, 5625), (3, 1875), (5, 1125), (15, 375), (25, 225), and (75, 75).</p>
9 <p>Positive factor pairs of 5625: (1, 5625), (3, 1875), (5, 1125), (15, 375), (25, 225), and (75, 75).</p>
10 <p>Negative factor pairs of 5625: (-1, -5625), (-3, -1875), (-5, -1125), (-15, -375), (-25, -225), and (-75, -75).</p>
10 <p>Negative factor pairs of 5625: (-1, -5625), (-3, -1875), (-5, -1125), (-15, -375), (-25, -225), and (-75, -75).</p>
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