Question

what is the prime factorization of 27

Answer 1

To do this you take the prime factors of it, and since 27 is 3 cubed and 3's a prime factor you can just write it as 3x3x3 or\[3^{3}\]

Answer 2

is it a prime number

Answer 3

A prime number is a number that can only be divided by itself and 1.

Answer 4

The prime numbers are 2, 3, 5, 7, 11, 13, ...
To find the prime factorization of a number, try to divide by the lowest prime number first as many times as you can. Then move on to the next one, and try again as many times as you can and so on to the other prime numbers.
Is 27 divisible by 2? No, so move on to 3.
Is 27 divisible by 3? Yes, so do it: 27 = 3 x 9
No take the 9, is it divisible by 3? Yes, 9 = 3 x 3, so
27 = 3 x 3 x 3 = 3^3