Question
Find the prime factorization of number 2734375.
Answer
The prime factorization of 2734375 is:
$$ 2734375 = 5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 2734375 = 5^{8}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2734375 can be written as 5 × 546875. |
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| 546875 can be written as 5 × 109375. |
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| 109375 can be written as 5 × 21875. |
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| 21875 can be written as 5 × 4375. |
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| 4375 can be written as 5 × 875. |
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| 875 can be written as 5 × 175. |
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| 175 can be written as 5 × 35. |
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| 35 can be written as 5 × 7. |
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| The end nodes are the prime factors of the number 2734375. |
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