Question

Prime factorization of the number 350?

Answer 1

exponential form: `2*5^2*7`

Explanation:

The prime factors are: 2 x 5 x 5 x 7
combine
and voila

Answer 2

`350=2xx5xx5xx7=2xx5^2xx7=2*5^2*7`

Explanation:

To split such a number up into prime factors, start by thinking of two numbers which are multiplied to give `350`

`350=10xx35`

Neither of the factors are prime so split those up until you arrive at prime numbers

start with the `10`

`350=color(red)(2xx5)xx35`

The numbers in red are prime, so now the other number

`350=2xx5xxcolor(red)(5xx7)`

Those are also prime. Thus we have all the prime factors

tidy up

`350=2xx5xx5xx7=2xx5^2xx7=2*5^2*7`