Question
Find the prime factorization of number 11462472.
Answer
The prime factorization of 11462472 is:
$$ 11462472 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot7\cdot7\cdot19\cdot19 $$Which is the same as :
$$ 11462472 = 2^{3}\cdot3^{4}\cdot7^{2}\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 11462472 can be written as 2 × 5731236. |
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| 5731236 can be written as 2 × 2865618. |
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| 2865618 can be written as 2 × 1432809. |
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| 1432809 can be written as 3 × 477603. |
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| 477603 can be written as 3 × 159201. |
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| 159201 can be written as 3 × 53067. |
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| 53067 can be written as 3 × 17689. |
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| 17689 can be written as 7 × 2527. |
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| 2527 can be written as 7 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 11462472. |
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