Express 375 as a product of prime factors in exponent form?

Question

I'm not exactly after the answer just how to work it out

Answer 1

375 = 5*5*5*3
= (5^3)*3

Answer 2

375
= 5.75
= 5.3.25
= 5.3.5.5
= 3.5³

Simply factor the numbers bit-by-bit until all the numbers in your final product are primes. i.e. in the list: 2, 3, 5, 7, 11, 13, 17 . . . . and so on.

Always start by trying to find the lowest prime factors first, or obvious ones. e.g. 375 ends in a five, so you know that it is divisible by 5 (= 5.75) etc.

Answer 3

to find prime factors, i start with 2, then 3, then 5, and continue to go up until i am done

375
no factors of 2
3 * 125
no more factors of 3
3 * 5 * 25
3 * 5 * 5 * 5

so those are the prime factors
there is one 3 and three 5s so in exponent form it is
3^1 * 5^3

Answer 4

5)375
. 5)75
. 5)15
. . . 3