# Prime factorization of the number 350?

##### 2 Answers
May 2, 2018

exponential form: $2 \cdot {5}^{2} \cdot 7$

#### Explanation:

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

May 3, 2018

$350 = 2 \times 5 \times 5 \times 7 = 2 \times {5}^{2} \times 7 = 2 \cdot {5}^{2} \cdot 7$

#### Explanation:

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

$350 = 10 \times 35$

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

start with the $10$

$350 = \textcolor{red}{2 \times 5} \times 35$

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

$350 = 2 \times 5 \times \textcolor{red}{5 \times 7}$

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

tidy up

$350 = 2 \times 5 \times 5 \times 7 = 2 \times {5}^{2} \times 7 = 2 \cdot {5}^{2} \cdot 7$