Question
Find the prime factorization of number 2125.
Answer
The prime factorization of 2125 is:
$$ 2125 = 5\cdot5\cdot5\cdot17 $$Which is the same as :
$$ 2125 = 5^{3}\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2125 can be written as 5 × 425. |
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| 425 can be written as 5 × 85. |
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| 85 can be written as 5 × 17. |
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| The end nodes are the prime factors of the number 2125. |
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