# What is the largest perfect square that goes into 120?

Jul 1, 2015

$4$

#### Explanation:

Factor $120$ into primes to get $120 = {2}^{3} \cdot 3 \cdot 5$

Separate the square factors:

$120 = {2}^{2} \cdot 2 \cdot 3 \cdot 5$

So the only square factor greater than $1$ is ${2}^{2} = 4$