Factors of 66
2026-02-28 13:11 Diff

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. 


To find the factors of a number prime factorization, we need to follow these steps

Step 1: The given number needs to be divided with the smallest prime number.

Step 2: Now, we need to divide the remainder in step 1 with the prime number. The process is continued till the remainder is a prime number.

   Let's use the prime factorization method to find the factors of 66.

The prime factors of 66 are 2, 3, and 11.

2, 3, 5, 7, 11, 13, 17,… are the prime numbers. 

Step 1: Checking the divisibility by 2: 66 is an even number, so, it is divisible by 2.

66 ÷ 2 = 33

Step 2: Now, the remainder is 33. 

Checking the divisibility by 3: 33 is divisible by 3

33 ÷ 3 = 11

Step 3: Now, the remainder is 11 which is a prime number. 

So, the factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.