Question
Find the prime factorization of number 30588.
Answer
The prime factorization of 30588 is:
$$ 30588 = 2\cdot2\cdot3\cdot2549 $$Which is the same as :
$$ 30588 = 2^{2}\cdot3\cdot2549 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30588 can be written as 2 × 15294. |
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| 15294 can be written as 2 × 7647. |
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| 7647 can be written as 3 × 2549. |
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| The end nodes are the prime factors of the number 30588. |
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