Question
Find the prime factorization of number 39304.
Answer
The prime factorization of 39304 is:
$$ 39304 = 2\cdot2\cdot2\cdot17\cdot17\cdot17 $$Which is the same as :
$$ 39304 = 2^{3}\cdot17^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 39304 can be written as 2 × 19652. |
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| 19652 can be written as 2 × 9826. |
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| 9826 can be written as 2 × 4913. |
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| 4913 can be written as 17 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 39304. |
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