Question
Find the prime factorization of number 35904.
Answer
The prime factorization of 35904 is:
$$ 35904 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot11\cdot17 $$Which is the same as :
$$ 35904 = 2^{6}\cdot3\cdot11\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 35904 can be written as 2 × 17952. |
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| 17952 can be written as 2 × 8976. |
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| 8976 can be written as 2 × 4488. |
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| 4488 can be written as 2 × 2244. |
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| 2244 can be written as 2 × 1122. |
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| 1122 can be written as 2 × 561. |
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| 561 can be written as 3 × 187. |
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| 187 can be written as 11 × 17. |
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| The end nodes are the prime factors of the number 35904. |
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