0 added
0 removed
Original
2026-01-01
Modified
2026-02-28
1
<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>
1
<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>
2
<p>To find the factors of a number prime factorization, we need to follow these steps</p>
2
<p>To find the factors of a number prime factorization, we need to follow these steps</p>
3
<p><strong>Step 1:</strong>The given number needs to be divided with the smallest prime number.</p>
3
<p><strong>Step 1:</strong>The given number needs to be divided with the smallest prime number.</p>
4
<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>
4
<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>
5
<p> Let's use the prime factorization method to find the factors of 66.</p>
5
<p> Let's use the prime factorization method to find the factors of 66.</p>
6
<p>The prime factors of 66 are 2, 3, and 11.</p>
6
<p>The prime factors of 66 are 2, 3, and 11.</p>
7
<p>2, 3, 5, 7, 11, 13, 17,… are the prime numbers. </p>
7
<p>2, 3, 5, 7, 11, 13, 17,… are the prime numbers. </p>
8
<p><strong>Step 1:</strong>Checking the divisibility by 2: 66 is an<a>even number</a>, so, it is divisible by 2.</p>
8
<p><strong>Step 1:</strong>Checking the divisibility by 2: 66 is an<a>even number</a>, so, it is divisible by 2.</p>
9
<p>66 ÷ 2 = 33</p>
9
<p>66 ÷ 2 = 33</p>
10
<p><strong>Step 2:</strong>Now, the remainder is 33. </p>
10
<p><strong>Step 2:</strong>Now, the remainder is 33. </p>
11
<p>Checking the divisibility by 3: 33 is divisible by 3</p>
11
<p>Checking the divisibility by 3: 33 is divisible by 3</p>
12
<p>33 ÷ 3 = 11</p>
12
<p>33 ÷ 3 = 11</p>
13
<p><strong>Step 3:</strong>Now, the remainder is 11 which is a prime number. </p>
13
<p><strong>Step 3:</strong>Now, the remainder is 11 which is a prime number. </p>
14
<p>So, the factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. </p>
14
<p>So, the factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. </p>
15
15