Question
Find the prime factorization of number 187904.
Answer
The prime factorization of 187904 is:
$$ 187904 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot367 $$Which is the same as :
$$ 187904 = 2^{9}\cdot367 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 187904 can be written as 2 × 93952. |
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| 93952 can be written as 2 × 46976. |
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| 46976 can be written as 2 × 23488. |
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| 23488 can be written as 2 × 11744. |
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| 11744 can be written as 2 × 5872. |
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| 5872 can be written as 2 × 2936. |
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| 2936 can be written as 2 × 1468. |
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| 1468 can be written as 2 × 734. |
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| 734 can be written as 2 × 367. |
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| The end nodes are the prime factors of the number 187904. |
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