Question
Find the prime factorization of number 660.
Answer
The prime factorization of 660 is:
$$ 660 = 2\cdot2\cdot3\cdot5\cdot11 $$Which is the same as :
$$ 660 = 2^{2}\cdot3\cdot5\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 660 can be written as 10 × 66. |
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| 10 can be written as 2 × 5. |
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| 66 can be written as 2 × 33. |
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| 33 can be written as 3 × 11. |
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| The end nodes are the prime factors of the number 660. |
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