Question
Find the prime factorization of number 95256.
Answer
The prime factorization of 95256 is:
$$ 95256 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot7\cdot7 $$Which is the same as :
$$ 95256 = 2^{3}\cdot3^{5}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 95256 can be written as 2 × 47628. |
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| 47628 can be written as 2 × 23814. |
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| 23814 can be written as 2 × 11907. |
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| 11907 can be written as 3 × 3969. |
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| 3969 can be written as 3 × 1323. |
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| 1323 can be written as 3 × 441. |
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| 441 can be written as 3 × 147. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 95256. |
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