Question
Find the prime factorization of number 138391952.
Answer
The prime factorization of 138391952 is:
$$ 138391952 = 2\cdot2\cdot2\cdot2\cdot373\cdot23189 $$Which is the same as :
$$ 138391952 = 2^{4}\cdot373\cdot23189 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 138391952 can be written as 2 × 69195976. |
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| 69195976 can be written as 2 × 34597988. |
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| 34597988 can be written as 2 × 17298994. |
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| 17298994 can be written as 2 × 8649497. |
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| 8649497 can be written as 373 × 23189. |
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| The end nodes are the prime factors of the number 138391952. |
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