Question
Find the prime factorization of number 6680.
Answer
The prime factorization of 6680 is:
$$ 6680 = 2\cdot2\cdot2\cdot5\cdot167 $$Which is the same as :
$$ 6680 = 2^{3}\cdot5\cdot167 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6680 can be written as 10 × 668. |
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| 10 can be written as 2 × 5. |
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| 668 can be written as 2 × 334. |
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| 334 can be written as 2 × 167. |
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| The end nodes are the prime factors of the number 6680. |
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