Question
Find the prime factorization of number 12609597.
Answer
The prime factorization of 12609597 is:
$$ 12609597 = 3\cdot7\cdot11\cdot13\cdot13\cdot17\cdot19 $$Which is the same as :
$$ 12609597 = 3\cdot7\cdot11\cdot13^{2}\cdot17\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 12609597 can be written as 3 × 4203199. |
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| 4203199 can be written as 7 × 600457. |
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| 600457 can be written as 11 × 54587. |
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| 54587 can be written as 13 × 4199. |
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| 4199 can be written as 13 × 323. |
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| 323 can be written as 17 × 19. |
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| The end nodes are the prime factors of the number 12609597. |
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