Find the prime factorization of number 175.

Answer

The prime factorization of 175 is:
$175 = 5 \cdot 5 \cdot 7$
Which is the same as :
$175 = 5^{2} \cdot 7$

Explanation

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

175 can be written as 5 × 35.	175 5 35
35 can be written as 5 × 7.	175 5 35 7 5
The end nodes are the prime factors of the number 175.	175 5 35 7 5

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Find the prime factorization of number 175.

The prime factorization of 175 is:175=5⋅5⋅7 Which is the same as :175=52⋅7

The prime factorization of 175 is:
$175 = 5 \cdot 5 \cdot 7$
Which is the same as :
$175 = 5^{2} \cdot 7$