factors of 18

Let us find factors of 18

In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly, without leaving a remainder. The process of finding these numbers is called integer factorization, or prime factorization.

For a prime factor p of n, the multiplicity of p is the largest exponent a for which p^a divides n. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicity. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization

Find the prime factors of 18?

Solution:

It is finest to build with the least prime number, which is 2, so let's establish:

18 ÷ 2 = 9

Other than the 9 it is not a prime number( prime number list), hence we need to factor it more:

9 ÷ 3= 3

3 is a prime number,

18 = 2 × 3 × 3

Now in the above answer, all factors are a prime number, so the answer is supposed to be right.

The prime factor form of 18 is 2 × 2 × 3