Question
Find the prime factorization of number 14211450.
Answer
The prime factorization of 14211450 is:
$$ 14211450 = 2\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot11\cdot11\cdot29 $$Which is the same as :
$$ 14211450 = 2\cdot3^{4}\cdot5^{2}\cdot11^{2}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 14211450 can be written as 10 × 1421145. |
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| 10 can be written as 2 × 5. |
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| 1421145 can be written as 5 × 284229. |
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| 284229 can be written as 3 × 94743. |
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| 94743 can be written as 3 × 31581. |
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| 31581 can be written as 3 × 10527. |
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| 10527 can be written as 3 × 3509. |
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| 3509 can be written as 11 × 319. |
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| 319 can be written as 11 × 29. |
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| The end nodes are the prime factors of the number 14211450. |
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