Find the prime factorization of number 175.
Answer
The prime factorization of 175 is:
$$ 175 = 5\cdot5\cdot7 $$Which is the same as :
$$ 175 = 5^{2}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 175 can be written as 5 × 35. |
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| 35 can be written as 5 × 7. |
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| The end nodes are the prime factors of the number 175. |
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