The prime factorization of 30566 is:
$$ 30566 = 2\cdot17\cdot29\cdot31 $$Prime factorization can be nicely visualized by creating a factorization tree.
| 30566 can be written as 2 × 15283. |
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| 15283 can be written as 17 × 899. |
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| 899 can be written as 29 × 31. |
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| The end nodes are the prime factors of the number 30566. |
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