Question
Find the prime factorization of number 4675.
Answer
The prime factorization of 4675 is:
$$ 4675 = 5\cdot5\cdot11\cdot17 $$Which is the same as :
$$ 4675 = 5^{2}\cdot11\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4675 can be written as 5 × 935. |
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| 935 can be written as 5 × 187. |
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| 187 can be written as 11 × 17. |
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| The end nodes are the prime factors of the number 4675. |
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