# How do you write the prime factorization of 280?

Jul 23, 2018

Prime factorization: ${2}^{3} \cdot 5 \cdot 7$

#### Explanation:

Given: $280$. Find the prime factorization.

$\text{ } 280$
$\text{ / \}$
$\text{ "2" } 140$
$\text{ / \}$
$\text{ "2" } 70$
$\text{ / \}$
$\text{ "2" } 35$
$\text{ / \}$
$\text{ "5" } 7$

Prime factorization: ${2}^{3} \cdot 5 \cdot 7$