Question
Find the prime factorization of number 59292.
Answer
The prime factorization of 59292 is:
$$ 59292 = 2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot61 $$Which is the same as :
$$ 59292 = 2^{2}\cdot3^{5}\cdot61 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 59292 can be written as 2 × 29646. |
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| 29646 can be written as 2 × 14823. |
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| 14823 can be written as 3 × 4941. |
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| 4941 can be written as 3 × 1647. |
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| 1647 can be written as 3 × 549. |
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| 549 can be written as 3 × 183. |
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| 183 can be written as 3 × 61. |
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| The end nodes are the prime factors of the number 59292. |
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