Question
Find the prime factorization of number 237600000.
Answer
The prime factorization of 237600000 is:
$$ 237600000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot11 $$Which is the same as :
$$ 237600000 = 2^{8}\cdot3^{3}\cdot5^{5}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 237600000 can be written as 10 × 23760000. |
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| 10 can be written as 2 × 5. |
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| 23760000 can be written as 10 × 2376000. |
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| 10 can be written as 2 × 5. |
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| 2376000 can be written as 10 × 237600. |
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| 10 can be written as 2 × 5. |
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| 237600 can be written as 10 × 23760. |
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| 10 can be written as 2 × 5. |
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| 23760 can be written as 10 × 2376. |
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| 10 can be written as 2 × 5. |
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| 2376 can be written as 2 × 1188. |
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| 1188 can be written as 2 × 594. |
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| 594 can be written as 2 × 297. |
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| 297 can be written as 3 × 99. |
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| 99 can be written as 3 × 33. |
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| 33 can be written as 3 × 11. |
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| The end nodes are the prime factors of the number 237600000. |
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