Question
Find the prime factorization of number 329232.
Answer
The prime factorization of 329232 is:
$$ 329232 = 2\cdot2\cdot2\cdot2\cdot3\cdot19\cdot19\cdot19 $$Which is the same as :
$$ 329232 = 2^{4}\cdot3\cdot19^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 329232 can be written as 2 × 164616. |
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| 164616 can be written as 2 × 82308. |
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| 82308 can be written as 2 × 41154. |
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| 41154 can be written as 2 × 20577. |
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| 20577 can be written as 3 × 6859. |
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| 6859 can be written as 19 × 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 329232. |
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