Question
Find the prime factorization of number 787828125.
Answer
The prime factorization of 787828125 is:
$$ 787828125 = 3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot7\cdot7\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 787828125 = 3\cdot5^{6}\cdot7^{5} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 787828125 can be written as 5 × 157565625. |
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| 157565625 can be written as 5 × 31513125. |
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| 31513125 can be written as 5 × 6302625. |
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| 6302625 can be written as 5 × 1260525. |
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| 1260525 can be written as 5 × 252105. |
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| 252105 can be written as 5 × 50421. |
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| 50421 can be written as 3 × 16807. |
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| 16807 can be written as 7 × 2401. |
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| 2401 can be written as 7 × 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 787828125. |
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