Find the prime factorization of number 180.

Answer

The prime factorization of 180 is:
$180 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5$
Which is the same as :
$180 = 2^{2} \cdot 3^{2} \cdot 5$

Explanation

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

180 can be written as 10 × 18.	180 10 18
10 can be written as 2 × 5.	180 10 5 2 18
18 can be written as 2 × 9.	180 10 5 2 18 2 9
9 can be written as 3 × 3.	180 10 5 2 18 2 9 3 3
The end nodes are the prime factors of the number 180.	180 10 5 2 18 2 9 3 3

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Find the prime factorization of number 180.

The prime factorization of 180 is:180=2⋅2⋅3⋅3⋅5 Which is the same as :180=22⋅32⋅5

The prime factorization of 180 is:
$180 = 2 \cdot 2 \cdot 3 \cdot 3 \cdot 5$
Which is the same as :
$180 = 2^{2} \cdot 3^{2} \cdot 5$