How do you find the factorization of the number 75?

Answer 1

Prime factorization: It is a method to express each number as the product of prime numbers.

Step 1: Which Prime number divide 75?

Ans: 3 and 5.

But, we should start with the smallest prime number which divides 75.

75÷3 = 25

Step 2: Which prime number divide 25?

Ans: 5

25÷5 = 5

Step 3: We have to continuously divide each quotient by a prime number until the quotient itself is a prime number.

In step 2 we are left with 5(prime number) as a quotient.

So, prime factorization of 75 = product of all the quotients = 3x5x5