Question
Find the prime factorization of number 30627.
Answer
The prime factorization of 30627 is:
$$ 30627 = 3\cdot3\cdot41\cdot83 $$Which is the same as :
$$ 30627 = 3^{2}\cdot41\cdot83 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30627 can be written as 3 × 10209. |
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| 10209 can be written as 3 × 3403. |
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| 3403 can be written as 41 × 83. |
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| The end nodes are the prime factors of the number 30627. |
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