Question
Find the prime factorization of number 58812.
Answer
The prime factorization of 58812 is:
$$ 58812 = 2\cdot2\cdot3\cdot13\cdot13\cdot29 $$Which is the same as :
$$ 58812 = 2^{2}\cdot3\cdot13^{2}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 58812 can be written as 2 × 29406. |
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| 29406 can be written as 2 × 14703. |
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| 14703 can be written as 3 × 4901. |
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| 4901 can be written as 13 × 377. |
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| 377 can be written as 13 × 29. |
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| The end nodes are the prime factors of the number 58812. |
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