Find the prime factorization of number 225.

Answer

The prime factorization of 225 is:
$225 = 3 \cdot 3 \cdot 5 \cdot 5$
Which is the same as :
$225 = 3^{2} \cdot 5^{2}$

Explanation

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

225 can be written as 5 × 45.	225 5 45
45 can be written as 5 × 9.	225 5 45 9 5
9 can be written as 3 × 3.	225 5 45 9 3 3 5
The end nodes are the prime factors of the number 225.	225 5 45 9 3 3 5

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Find the prime factorization of number 225.

The prime factorization of 225 is:225=3⋅3⋅5⋅5 Which is the same as :225=32⋅52

The prime factorization of 225 is:
$225 = 3 \cdot 3 \cdot 5 \cdot 5$
Which is the same as :
$225 = 3^{2} \cdot 5^{2}$