Question
Find the prime factorization of number 175616.
Answer
The prime factorization of 175616 is:
$$ 175616 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 175616 = 2^{9}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 175616 can be written as 2 × 87808. |
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| 87808 can be written as 2 × 43904. |
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| 43904 can be written as 2 × 21952. |
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| 21952 can be written as 2 × 10976. |
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| 10976 can be written as 2 × 5488. |
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| 5488 can be written as 2 × 2744. |
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| 2744 can be written as 2 × 1372. |
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| 1372 can be written as 2 × 686. |
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| 686 can be written as 2 × 343. |
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| 343 can be written as 7 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 175616. |
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