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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, 2500 is divided by 2 to get 1250.</p>
2 <p><strong>Step 1:</strong>Firstly, 2500 is divided by 2 to get 1250.</p>
3 <p><strong>Step 2:</strong>Now divide 1250 by 2 to get 625.</p>
3 <p><strong>Step 2:</strong>Now divide 1250 by 2 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.</p>
6 <p><strong>Step 5:</strong>Divide 25 by 5 to get 5.</p>
7 <p>Here, 5 is the smallest prime number, that cannot be divided anymore.</p>
7 <p>Here, 5 is the smallest prime number, that cannot be divided anymore.</p>
8 <p>So, the prime factorization of 2500 is: 2² × 5⁴.</p>
8 <p>So, the prime factorization of 2500 is: 2² × 5⁴.</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 2500: (1, 2500), (2, 1250), (4, 625), (5, 500), (10, 250), (20, 125), (25, 100), and (50, 50).</p>
11 <p>Positive factor pairs of 2500: (1, 2500), (2, 1250), (4, 625), (5, 500), (10, 250), (20, 125), (25, 100), and (50, 50).</p>
12 <p>Negative factor pairs of 2500: (-1, -2500), (-2, -1250), (-4, -625), (-5, -500), (-10, -250), (-20, -125), (-25, -100), and (-50, -50).</p>
12 <p>Negative factor pairs of 2500: (-1, -2500), (-2, -1250), (-4, -625), (-5, -500), (-10, -250), (-20, -125), (-25, -100), and (-50, -50).</p>
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