Question
Find the prime factorization of number 6175.
Answer
The prime factorization of 6175 is:
$$ 6175 = 5\cdot5\cdot13\cdot19 $$Which is the same as :
$$ 6175 = 5^{2}\cdot13\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6175 can be written as 5 × 1235. |
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| 1235 can be written as 5 × 247. |
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| 247 can be written as 13 × 19. |
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| The end nodes are the prime factors of the number 6175. |
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