Find the prime factorization of number 17328.
Answer
The prime factorization of 17328 is:
$$ 17328 = 2\cdot2\cdot2\cdot2\cdot3\cdot19\cdot19 $$Which is the same as :
$$ 17328 = 2^{4}\cdot3\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 17328 can be written as 2 × 8664. |
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| 8664 can be written as 2 × 4332. |
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| 4332 can be written as 2 × 2166. |
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| 2166 can be written as 2 × 1083. |
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| 1083 can be written as 3 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 17328. |
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