Question
Find the prime factorization of number 417496.
Answer
The prime factorization of 417496 is:
$$ 417496 = 2\cdot2\cdot2\cdot23\cdot2269 $$Which is the same as :
$$ 417496 = 2^{3}\cdot23\cdot2269 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 417496 can be written as 2 × 208748. |
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| 208748 can be written as 2 × 104374. |
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| 104374 can be written as 2 × 52187. |
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| 52187 can be written as 23 × 2269. |
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| The end nodes are the prime factors of the number 417496. |
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