Find the prime factorization of number 875.

Answer

The prime factorization of 875 is:
$875 = 5 \cdot 5 \cdot 5 \cdot 7$
Which is the same as :
$875 = 5^{3} \cdot 7$

Explanation

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

875 can be written as 5 × 175.	875 5 175
175 can be written as 5 × 35.	875 5 175 35 5
35 can be written as 5 × 7.	875 5 175 35 5 7 5
The end nodes are the prime factors of the number 875.	875 5 175 35 5 7 5

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Find the prime factorization of number 875.

The prime factorization of 875 is:875=5⋅5⋅5⋅7 Which is the same as :875=53⋅7

The prime factorization of 875 is:
$875 = 5 \cdot 5 \cdot 5 \cdot 7$
Which is the same as :
$875 = 5^{3} \cdot 7$