Question
Find the prime factorization of number 137566.
Answer
The prime factorization of 137566 is:
$$ 137566 = 2\cdot11\cdot13\cdot13\cdot37 $$Which is the same as :
$$ 137566 = 2\cdot11\cdot13^{2}\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 137566 can be written as 2 × 68783. |
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| 68783 can be written as 11 × 6253. |
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| 6253 can be written as 13 × 481. |
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| 481 can be written as 13 × 37. |
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| The end nodes are the prime factors of the number 137566. |
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