Question
Find the prime factorization of number 81324.
Answer
The prime factorization of 81324 is:
$$ 81324 = 2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot251 $$Which is the same as :
$$ 81324 = 2^{2}\cdot3^{4}\cdot251 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 81324 can be written as 2 × 40662. |
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| 40662 can be written as 2 × 20331. |
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| 20331 can be written as 3 × 6777. |
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| 6777 can be written as 3 × 2259. |
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| 2259 can be written as 3 × 753. |
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| 753 can be written as 3 × 251. |
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| The end nodes are the prime factors of the number 81324. |
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