Find the prime factorization of number 666.
Answer
The prime factorization of 666 is:
$$ 666 = 2\cdot3\cdot3\cdot37 $$Which is the same as :
$$ 666 = 2\cdot3^{2}\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 666 can be written as 2 × 333. |
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| 333 can be written as 3 × 111. |
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| 111 can be written as 3 × 37. |
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| The end nodes are the prime factors of the number 666. |
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