Question
Find the prime factorization of number 30668.
Answer
The prime factorization of 30668 is:
$$ 30668 = 2\cdot2\cdot11\cdot17\cdot41 $$Which is the same as :
$$ 30668 = 2^{2}\cdot11\cdot17\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30668 can be written as 2 × 15334. |
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| 15334 can be written as 2 × 7667. |
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| 7667 can be written as 11 × 697. |
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| 697 can be written as 17 × 41. |
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| The end nodes are the prime factors of the number 30668. |
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