Find the prime factorization of number 3150.

Answer

The prime factorization of 3150 is:
$3150 = 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 7$
Which is the same as :
$3150 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 7$

Explanation

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

3150 can be written as 10 × 315.	3150 10 315
10 can be written as 2 × 5.	3150 10 5 2 315
315 can be written as 5 × 63.	3150 10 5 2 315 5 63
63 can be written as 3 × 21.	3150 10 5 2 315 5 63 21 3
21 can be written as 3 × 7.	3150 10 5 2 315 5 63 21 3 7 3
The end nodes are the prime factors of the number 3150.	3150 10 5 2 315 5 63 21 3 7 3

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Find the prime factorization of number 3150.

The prime factorization of 3150 is:3150=2⋅3⋅3⋅5⋅5⋅7 Which is the same as :3150=2⋅32⋅52⋅7

The prime factorization of 3150 is:
$3150 = 2 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 7$
Which is the same as :
$3150 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 7$