Find the prime factorization of number 128625.
Answer
The prime factorization of 128625 is:
$$ 128625 = 3\cdot5\cdot5\cdot5\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 128625 = 3\cdot5^{3}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 128625 can be written as 5 × 25725. |
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| 25725 can be written as 5 × 5145. |
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| 5145 can be written as 5 × 1029. |
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| 1029 can be written as 3 × 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 128625. |
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