Question
Find the prime factorization of number 8575.
Answer
The prime factorization of 8575 is:
$$ 8575 = 5\cdot5\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 8575 = 5^{2}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8575 can be written as 5 × 1715. |
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| 1715 can be written as 5 × 343. |
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| 343 can be written as 7 × 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 8575. |
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