Question
Find the prime factorization of number 34596.
Answer
The prime factorization of 34596 is:
$$ 34596 = 2\cdot2\cdot3\cdot3\cdot31\cdot31 $$Which is the same as :
$$ 34596 = 2^{2}\cdot3^{2}\cdot31^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 34596 can be written as 2 × 17298. |
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| 17298 can be written as 2 × 8649. |
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| 8649 can be written as 3 × 2883. |
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| 2883 can be written as 3 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 34596. |
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