Question
Find the prime factorization of number 82512.
Answer
The prime factorization of 82512 is:
$$ 82512 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot191 $$Which is the same as :
$$ 82512 = 2^{4}\cdot3^{3}\cdot191 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 82512 can be written as 2 × 41256. |
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| 41256 can be written as 2 × 20628. |
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| 20628 can be written as 2 × 10314. |
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| 10314 can be written as 2 × 5157. |
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| 5157 can be written as 3 × 1719. |
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| 1719 can be written as 3 × 573. |
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| 573 can be written as 3 × 191. |
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| The end nodes are the prime factors of the number 82512. |
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