Find the prime factorization of number 315.

Answer

The prime factorization of 315 is:
$315 = 3 \cdot 3 \cdot 5 \cdot 7$
Which is the same as :
$315 = 3^{2} \cdot 5 \cdot 7$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

315 can be written as 5 × 63.	315 5 63
63 can be written as 3 × 21.	315 5 63 21 3
21 can be written as 3 × 7.	315 5 63 21 3 7 3
The end nodes are the prime factors of the number 315.	315 5 63 21 3 7 3

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Find the prime factorization of number 315.

The prime factorization of 315 is:315=3⋅3⋅5⋅7 Which is the same as :315=32⋅5⋅7

The prime factorization of 315 is:
$315 = 3 \cdot 3 \cdot 5 \cdot 7$
Which is the same as :
$315 = 3^{2} \cdot 5 \cdot 7$