Find the prime factorization of number 17576.

Answer

The prime factorization of 17576 is:
$17576 = 2 \cdot 2 \cdot 2 \cdot 13 \cdot 13 \cdot 13$
Which is the same as :
$17576 = 2^{3} \cdot 1 3^{3}$

Explanation

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

17576 can be written as 2 × 8788.	17576 2 8788
8788 can be written as 2 × 4394.	17576 2 8788 4394 2
4394 can be written as 2 × 2197.	17576 2 8788 4394 2 2197 2
2197 can be written as 13 × 169.	17576 2 8788 4394 2 2197 169 13 2
169 can be written as 13 × 13.	17576 2 8788 4394 2 2197 169 13 13 13 2
The end nodes are the prime factors of the number 17576.	17576 2 8788 4394 2 2197 169 13 13 13 2

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Find the prime factorization of number 17576.

The prime factorization of 17576 is:17576=2⋅2⋅2⋅13⋅13⋅13 Which is the same as :17576=23⋅133

The prime factorization of 17576 is:
$17576 = 2 \cdot 2 \cdot 2 \cdot 13 \cdot 13 \cdot 13$
Which is the same as :
$17576 = 2^{3} \cdot 1 3^{3}$