Question
Find the prime factorization of number 108736.
Answer
The prime factorization of 108736 is:
$$ 108736 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot1699 $$Which is the same as :
$$ 108736 = 2^{6}\cdot1699 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 108736 can be written as 2 × 54368. |
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| 54368 can be written as 2 × 27184. |
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| 27184 can be written as 2 × 13592. |
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| 13592 can be written as 2 × 6796. |
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| 6796 can be written as 2 × 3398. |
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| 3398 can be written as 2 × 1699. |
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| The end nodes are the prime factors of the number 108736. |
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