Question
Find the prime factorization of number 1625.
Answer
The prime factorization of 1625 is:
$$ 1625 = 5\cdot5\cdot5\cdot13 $$Which is the same as :
$$ 1625 = 5^{3}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1625 can be written as 5 × 325. |
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| 325 can be written as 5 × 65. |
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| 65 can be written as 5 × 13. |
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| The end nodes are the prime factors of the number 1625. |
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