Question
Find the prime factorization of number 680.
Answer
The prime factorization of 680 is:
$$ 680 = 2\cdot2\cdot2\cdot5\cdot17 $$Which is the same as :
$$ 680 = 2^{3}\cdot5\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 680 can be written as 10 × 68. |
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| 10 can be written as 2 × 5. |
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| 68 can be written as 2 × 34. |
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| 34 can be written as 2 × 17. |
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| The end nodes are the prime factors of the number 680. |
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