Question
Find the prime factorization of number 66108.
Answer
The prime factorization of 66108 is:
$$ 66108 = 2\cdot2\cdot3\cdot7\cdot787 $$Which is the same as :
$$ 66108 = 2^{2}\cdot3\cdot7\cdot787 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 66108 can be written as 2 × 33054. |
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| 33054 can be written as 2 × 16527. |
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| 16527 can be written as 3 × 5509. |
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| 5509 can be written as 7 × 787. |
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| The end nodes are the prime factors of the number 66108. |
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