Find the prime factorization of number 189.

Answer

The prime factorization of 189 is:
$189 = 3 \cdot 3 \cdot 3 \cdot 7$
Which is the same as :
$189 = 3^{3} \cdot 7$

Explanation

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

189 can be written as 3 × 63.	189 3 63
63 can be written as 3 × 21.	189 3 63 21 3
21 can be written as 3 × 7.	189 3 63 21 3 7 3
The end nodes are the prime factors of the number 189.	189 3 63 21 3 7 3

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Find the prime factorization of number 189.

The prime factorization of 189 is:189=3⋅3⋅3⋅7 Which is the same as :189=33⋅7

The prime factorization of 189 is:
$189 = 3 \cdot 3 \cdot 3 \cdot 7$
Which is the same as :
$189 = 3^{3} \cdot 7$