Question
Find the prime factorization of number 843908625.
Answer
The prime factorization of 843908625 is:
$$ 843908625 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 843908625 = 3^{9}\cdot5^{3}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 843908625 can be written as 5 × 168781725. |
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| 168781725 can be written as 5 × 33756345. |
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| 33756345 can be written as 5 × 6751269. |
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| 6751269 can be written as 3 × 2250423. |
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| 2250423 can be written as 3 × 750141. |
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| 750141 can be written as 3 × 250047. |
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| 250047 can be written as 3 × 83349. |
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| 83349 can be written as 3 × 27783. |
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| 27783 can be written as 3 × 9261. |
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| 9261 can be written as 3 × 3087. |
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| 3087 can be written as 3 × 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 843908625. |
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