Question
Find the prime factorization of number 30582.
Answer
The prime factorization of 30582 is:
$$ 30582 = 2\cdot3\cdot3\cdot1699 $$Which is the same as :
$$ 30582 = 2\cdot3^{2}\cdot1699 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30582 can be written as 2 × 15291. |
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| 15291 can be written as 3 × 5097. |
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| 5097 can be written as 3 × 1699. |
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| The end nodes are the prime factors of the number 30582. |
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