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Original
2026-01-01
Modified
2026-02-28
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<p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>
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<p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -</p>
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<p><strong>Step 1:</strong>Firstly, 2625 is divided by 3 to get 875.</p>
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<p><strong>Step 1:</strong>Firstly, 2625 is divided by 3 to get 875.</p>
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<p><strong>Step 2:</strong>Now divide 875 by 5 to get 175.</p>
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<p><strong>Step 2:</strong>Now divide 875 by 5 to get 175.</p>
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<p><strong>Step 3:</strong>Then divide 175 by 5 to get 35.</p>
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<p><strong>Step 3:</strong>Then divide 175 by 5 to get 35.</p>
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<p><strong>Step 4:</strong>Divide 35 by 7 to get 5.</p>
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<p><strong>Step 4:</strong>Divide 35 by 7 to get 5.</p>
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<p>Here, 5 is the smallest prime number, that cannot be divided anymore.</p>
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<p>Here, 5 is the smallest prime number, that cannot be divided anymore.</p>
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<p>So, the prime factorization of 2625 is: \(3^1 \times 5^2 \times 7^1 \times 5^1\).</p>
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<p>So, the prime factorization of 2625 is: \(3^1 \times 5^2 \times 7^1 \times 5^1\).</p>
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<p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
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<p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
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<p>Both positive and negative factors constitute factor pairs.</p>
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<p>Both positive and negative factors constitute factor pairs.</p>
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<p>Positive factor pairs of 2625: (1, 2625), (3, 875), (5, 525), (15, 175), (25, 105), and (35, 75).</p>
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<p>Positive factor pairs of 2625: (1, 2625), (3, 875), (5, 525), (15, 175), (25, 105), and (35, 75).</p>
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<p>Negative factor pairs of 2625: (-1, -2625), (-3, -875), (-5, -525), (-15, -175), (-25, -105), and (-35, -75).</p>
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<p>Negative factor pairs of 2625: (-1, -2625), (-3, -875), (-5, -525), (-15, -175), (-25, -105), and (-35, -75).</p>
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