Question
Find the prime factorization of number 36542.
Answer
The prime factorization of 36542 is:
$$ 36542 = 2\cdot11\cdot11\cdot151 $$Which is the same as :
$$ 36542 = 2\cdot11^{2}\cdot151 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 36542 can be written as 2 × 18271. |
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| 18271 can be written as 11 × 1661. |
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| 1661 can be written as 11 × 151. |
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| The end nodes are the prime factors of the number 36542. |
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