Question
Find the prime factorization of number 46250.
Answer
The prime factorization of 46250 is:
$$ 46250 = 2\cdot5\cdot5\cdot5\cdot5\cdot37 $$Which is the same as :
$$ 46250 = 2\cdot5^{4}\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 46250 can be written as 10 × 4625. |
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| 10 can be written as 2 × 5. |
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| 4625 can be written as 5 × 925. |
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| 925 can be written as 5 × 185. |
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| 185 can be written as 5 × 37. |
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| The end nodes are the prime factors of the number 46250. |
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