Question
Find the prime factorization of number 82071.
Answer
The prime factorization of 82071 is:
$$ 82071 = 3\cdot3\cdot11\cdot829 $$Which is the same as :
$$ 82071 = 3^{2}\cdot11\cdot829 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 82071 can be written as 3 × 27357. |
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| 27357 can be written as 3 × 9119. |
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| 9119 can be written as 11 × 829. |
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| The end nodes are the prime factors of the number 82071. |
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