Question
Find the prime factorization of number 4125.
Answer
The prime factorization of 4125 is:
$$ 4125 = 3\cdot5\cdot5\cdot5\cdot11 $$Which is the same as :
$$ 4125 = 3\cdot5^{3}\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4125 can be written as 5 × 825. |
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| 825 can be written as 5 × 165. |
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| 165 can be written as 5 × 33. |
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| 33 can be written as 3 × 11. |
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| The end nodes are the prime factors of the number 4125. |
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