Prime factorization of the number 350?

2 Answers
May 2, 2018

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

Explanation:

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

May 3, 2018

#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#