Question
Find the prime factorization of number 614125.
Answer
The prime factorization of 614125 is:
$$ 614125 = 5\cdot5\cdot5\cdot17\cdot17\cdot17 $$Which is the same as :
$$ 614125 = 5^{3}\cdot17^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 614125 can be written as 5 × 122825. |
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| 122825 can be written as 5 × 24565. |
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| 24565 can be written as 5 × 4913. |
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| 4913 can be written as 17 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 614125. |
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