Find the prime factorization of number 147.

Answer

The prime factorization of 147 is:
$147 = 3 \cdot 7 \cdot 7$
Which is the same as :
$147 = 3 \cdot 7^{2}$

Explanation

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

147 can be written as 3 × 49.	147 3 49
49 can be written as 7 × 7.	147 3 49 7 7
The end nodes are the prime factors of the number 147.	147 3 49 7 7

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Find the prime factorization of number 147.

The prime factorization of 147 is:147=3⋅7⋅7 Which is the same as :147=3⋅72

The prime factorization of 147 is:
$147 = 3 \cdot 7 \cdot 7$
Which is the same as :
$147 = 3 \cdot 7^{2}$