Question
Find the prime factorization of number 8625.
Answer
The prime factorization of 8625 is:
$$ 8625 = 3\cdot5\cdot5\cdot5\cdot23 $$Which is the same as :
$$ 8625 = 3\cdot5^{3}\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8625 can be written as 5 × 1725. |
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| 1725 can be written as 5 × 345. |
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| 345 can be written as 5 × 69. |
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| 69 can be written as 3 × 23. |
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| The end nodes are the prime factors of the number 8625. |
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