Question
Find the prime factorization of number 12186.
Answer
The prime factorization of 12186 is:
$$ 12186 = 2\cdot3\cdot3\cdot677 $$Which is the same as :
$$ 12186 = 2\cdot3^{2}\cdot677 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 12186 can be written as 2 × 6093. |
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| 6093 can be written as 3 × 2031. |
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| 2031 can be written as 3 × 677. |
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| The end nodes are the prime factors of the number 12186. |
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