Question
Find the prime factorization of number 68343750.
Answer
The prime factorization of 68343750 is:
$$ 68343750 = 2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 68343750 = 2\cdot3^{7}\cdot5^{6} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 68343750 can be written as 10 × 6834375. |
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| 10 can be written as 2 × 5. |
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| 6834375 can be written as 5 × 1366875. |
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| 1366875 can be written as 5 × 273375. |
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| 273375 can be written as 5 × 54675. |
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| 54675 can be written as 5 × 10935. |
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| 10935 can be written as 5 × 2187. |
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| 2187 can be written as 3 × 729. |
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| 729 can be written as 3 × 243. |
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| 243 can be written as 3 × 81. |
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| 81 can be written as 3 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 68343750. |
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