Question
Find the prime factorization of number 2975.
Answer
The prime factorization of 2975 is:
$$ 2975 = 5\cdot5\cdot7\cdot17 $$Which is the same as :
$$ 2975 = 5^{2}\cdot7\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2975 can be written as 5 × 595. |
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| 595 can be written as 5 × 119. |
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| 119 can be written as 7 × 17. |
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| The end nodes are the prime factors of the number 2975. |
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