Question
Find the prime factorization of number 16680.
Answer
The prime factorization of 16680 is:
$$ 16680 = 2\cdot2\cdot2\cdot3\cdot5\cdot139 $$Which is the same as :
$$ 16680 = 2^{3}\cdot3\cdot5\cdot139 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 16680 can be written as 10 × 1668. |
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| 10 can be written as 2 × 5. |
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| 1668 can be written as 2 × 834. |
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| 834 can be written as 2 × 417. |
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| 417 can be written as 3 × 139. |
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| The end nodes are the prime factors of the number 16680. |
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