Question
Find the prime factorization of number 55635800.
Answer
The prime factorization of 55635800 is:
$$ 55635800 = 2\cdot2\cdot2\cdot5\cdot5\cdot11\cdot11\cdot11\cdot11\cdot19 $$Which is the same as :
$$ 55635800 = 2^{3}\cdot5^{2}\cdot11^{4}\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 55635800 can be written as 10 × 5563580. |
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| 10 can be written as 2 × 5. |
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| 5563580 can be written as 10 × 556358. |
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| 10 can be written as 2 × 5. |
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| 556358 can be written as 2 × 278179. |
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| 278179 can be written as 11 × 25289. |
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| 25289 can be written as 11 × 2299. |
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| 2299 can be written as 11 × 209. |
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| 209 can be written as 11 × 19. |
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| The end nodes are the prime factors of the number 55635800. |
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