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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<strong> </strong></p>
1 <p>The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows<strong> </strong></p>
2 <p><strong>Step 1:</strong>Firstly, 9801 is divided by 3 to get 3267.</p>
2 <p><strong>Step 1:</strong>Firstly, 9801 is divided by 3 to get 3267.</p>
3 <p><strong>Step 2:</strong>Now divide 3267 by 3 to get 1089.</p>
3 <p><strong>Step 2:</strong>Now divide 3267 by 3 to get 1089.</p>
4 <p><strong>Step 3:</strong>Then divide 1089 by 3 to get 363.</p>
4 <p><strong>Step 3:</strong>Then divide 1089 by 3 to get 363.</p>
5 <p><strong>Step 4:</strong>Divide 363 by 3 to get 121.</p>
5 <p><strong>Step 4:</strong>Divide 363 by 3 to get 121.</p>
6 <p><strong>Step 5:</strong>Divide 121 by 11 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore.</p>
6 <p><strong>Step 5:</strong>Divide 121 by 11 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore.</p>
7 <p>So, the prime factorization of 9801 is: 3^4 × 11^2.</p>
7 <p>So, the prime factorization of 9801 is: 3^4 × 11^2.</p>
8 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
8 <p><strong>Factor Pairs</strong>Two numbers that are multiplied to give a specific number are called factor pairs.</p>
9 <p>Both positive and negative factors constitute factor pairs.</p>
9 <p>Both positive and negative factors constitute factor pairs.</p>
10 <p>Positive factor pairs of 9801: (1, 9801), (3, 3267), (9, 1089), (11, 891), (33, 297), (81, 121).</p>
10 <p>Positive factor pairs of 9801: (1, 9801), (3, 3267), (9, 1089), (11, 891), (33, 297), (81, 121).</p>
11 <p>Negative factor pairs of 9801: (-1, -9801), (-3, -3267), (-9, -1089), (-11, -891), (-33, -297), (-81, -121).</p>
11 <p>Negative factor pairs of 9801: (-1, -9801), (-3, -3267), (-9, -1089), (-11, -891), (-33, -297), (-81, -121).</p>
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