Question
Find the prime factorization of number 4375.
Answer
The prime factorization of 4375 is:
$$ 4375 = 5\cdot5\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 4375 = 5^{4}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 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 4375. |
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