Find the prime factorization of number 3582.
Answer
The prime factorization of 3582 is:
$$ 3582 = 2\cdot3\cdot3\cdot199 $$Which is the same as :
$$ 3582 = 2\cdot3^{2}\cdot199 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3582 can be written as 2 × 1791. |
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| 1791 can be written as 3 × 597. |
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| 597 can be written as 3 × 199. |
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| The end nodes are the prime factors of the number 3582. |
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