Find the prime factorization of number 17328.

Answer

The prime factorization of 17328 is:
$17328 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 19 \cdot 19$
Which is the same as :
$17328 = 2^{4} \cdot 3 \cdot 1 9^{2}$

Explanation

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

17328 can be written as 2 × 8664.	17328 2 8664
8664 can be written as 2 × 4332.	17328 2 8664 4332 2
4332 can be written as 2 × 2166.	17328 2 8664 4332 2 2166 2
2166 can be written as 2 × 1083.	17328 2 8664 4332 2 2166 1083 2 2
1083 can be written as 3 × 361.	17328 2 8664 4332 2 2166 1083 3 361 2 2
361 can be written as 19 × 19.	17328 2 8664 4332 2 2166 1083 3 361 19 19 2 2
The end nodes are the prime factors of the number 17328.	17328 2 8664 4332 2 2166 1083 3 361 19 19 2 2

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Find the prime factorization of number 17328.

The prime factorization of 17328 is:17328=2⋅2⋅2⋅2⋅3⋅19⋅19 Which is the same as :17328=24⋅3⋅192

The prime factorization of 17328 is:
$17328 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 19 \cdot 19$
Which is the same as :
$17328 = 2^{4} \cdot 3 \cdot 1 9^{2}$