Find the prime factorization of number 125.

Answer

The prime factorization of 125 is:
$125 = 5 \cdot 5 \cdot 5$
Which is the same as :
$125 = 5^{3}$

Explanation

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

125 can be written as 5 × 25.	125 5 25
25 can be written as 5 × 5.	125 5 25 5 5
The end nodes are the prime factors of the number 125.	125 5 25 5 5

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Find the prime factorization of number 125.

The prime factorization of 125 is:125=5⋅5⋅5 Which is the same as :125=53

The prime factorization of 125 is:
$125 = 5 \cdot 5 \cdot 5$
Which is the same as :
$125 = 5^{3}$