Question
Find the prime factorization of number 12342.
Answer
The prime factorization of 12342 is:
$$ 12342 = 2\cdot3\cdot11\cdot11\cdot17 $$Which is the same as :
$$ 12342 = 2\cdot3\cdot11^{2}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 12342 can be written as 2 × 6171. |
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| 6171 can be written as 3 × 2057. |
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| 2057 can be written as 11 × 187. |
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| 187 can be written as 11 × 17. |
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| The end nodes are the prime factors of the number 12342. |
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