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Original
2026-01-01
Modified
2026-02-28
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<p>Prime numbers are the numbers which have only two factors. The process of breaking down a large number into a smaller prime number is prime factorization. </p>
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<p>Prime numbers are the numbers which have only two factors. The process of breaking down a large number into a smaller prime number is prime factorization. </p>
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<p>To find the factors of a number prime factorization, we need to follow these steps</p>
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<p>To find the factors of a number prime factorization, we need to follow these steps</p>
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<p><strong>Step 1:</strong>The given number needs to be divided with the smallest prime number.</p>
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<p><strong>Step 1:</strong>The given number needs to be divided with the smallest prime number.</p>
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<p><strong>Step 2:</strong>Now, we need to divide the<a>remainder</a>in step 1 with the prime number. The process is continued till the remainder is a prime number.</p>
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<p><strong>Step 2:</strong>Now, we need to divide the<a>remainder</a>in step 1 with the prime number. The process is continued till the remainder is a prime number.</p>
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<p> Let's use the prime factorization method to find the factors of 125.</p>
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<p> Let's use the prime factorization method to find the factors of 125.</p>
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<p>The prime factor of 125 is 5.</p>
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<p>The prime factor of 125 is 5.</p>
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<p>2, 3, 5, 7, 11, 13, 17,… are the prime numbers. </p>
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<p>2, 3, 5, 7, 11, 13, 17,… are the prime numbers. </p>
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<p><strong>Step 1:</strong>Checking the divisibility by 2: 125 is an<a>odd number</a>, so, not divisible by 2.</p>
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<p><strong>Step 1:</strong>Checking the divisibility by 2: 125 is an<a>odd number</a>, so, not divisible by 2.</p>
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<p>Checking the divisibility by 3: As the<a>sum</a>of 125 is 8, 8 is not divisible by3. So 125 is not divisible by 3. </p>
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<p>Checking the divisibility by 3: As the<a>sum</a>of 125 is 8, 8 is not divisible by3. So 125 is not divisible by 3. </p>
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<p>Checking divisibility by 5: Dividing 125 with 5</p>
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<p>Checking divisibility by 5: Dividing 125 with 5</p>
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<p>125 ÷ 5 = 25</p>
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<p>125 ÷ 5 = 25</p>
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<p><strong>Step 2:</strong>now, the remainder is 25</p>
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<p><strong>Step 2:</strong>now, the remainder is 25</p>
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<p>Checking the divisibility by 5: 25 ÷ 5 = 5</p>
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<p>Checking the divisibility by 5: 25 ÷ 5 = 5</p>
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<p><strong>Step 3:</strong>Now, the remainder is 5 which is a prime number.</p>
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<p><strong>Step 3:</strong>Now, the remainder is 5 which is a prime number.</p>
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<p>So, the factors of 125 are 1, 5, 25, 125.</p>
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<p>So, the factors of 125 are 1, 5, 25, 125.</p>
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