Question
Find the prime factorization of number 84375.
Answer
The prime factorization of 84375 is:
$$ 84375 = 3\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 84375 = 3^{3}\cdot5^{5} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 84375 can be written as 5 × 16875. |
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| 16875 can be written as 5 × 3375. |
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| 3375 can be written as 5 × 675. |
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| 675 can be written as 5 × 135. |
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| 135 can be written as 5 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 84375. |
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