Question
Find the prime factorization of number 46875.
Answer
The prime factorization of 46875 is:
$$ 46875 = 3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 46875 = 3\cdot5^{6} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 46875 can be written as 5 × 9375. |
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| 9375 can be written as 5 × 1875. |
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| 1875 can be written as 5 × 375. |
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| 375 can be written as 5 × 75. |
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| 75 can be written as 5 × 15. |
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| 15 can be written as 5 × 3. |
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| The end nodes are the prime factors of the number 46875. |
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