Factors of 125
2026-02-28 17:42 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 125.

The prime factor of 125 is 5.

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


Step 1: Checking the divisibility by 2: 125 is an odd number, so, not divisible by 2.


Checking the divisibility by 3: As the sum of 125 is 8, 8 is not divisible by3. So 125 is not divisible by 3. 

Checking divisibility by 5: Dividing 125 with 5

125 ÷ 5 = 25

Step 2: now, the remainder is 25

Checking the divisibility by 5: 25 ÷ 5 = 5

Step 3: Now, the remainder is 5 which is a prime number.

So, the factors of 125 are 1, 5, 25, 125.