Find the prime factorization of number 10032.
Answer
The prime factorization of 10032 is:
$$ 10032 = 2\cdot2\cdot2\cdot2\cdot3\cdot11\cdot19 $$Which is the same as :
$$ 10032 = 2^{4}\cdot3\cdot11\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10032 can be written as 2 × 5016. |
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| 5016 can be written as 2 × 2508. |
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| 2508 can be written as 2 × 1254. |
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| 1254 can be written as 2 × 627. |
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| 627 can be written as 3 × 209. |
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| 209 can be written as 11 × 19. |
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| The end nodes are the prime factors of the number 10032. |
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