Question
Find the prime factorization of number 66175.
Answer
The prime factorization of 66175 is:
$$ 66175 = 5\cdot5\cdot2647 $$Which is the same as :
$$ 66175 = 5^{2}\cdot2647 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 66175 can be written as 5 × 13235. |
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| 13235 can be written as 5 × 2647. |
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| The end nodes are the prime factors of the number 66175. |
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