Find the prime factorization of number 874225.
Answer
The prime factorization of 874225 is:
$$ 874225 = 5\cdot5\cdot11\cdot11\cdot17\cdot17 $$Which is the same as :
$$ 874225 = 5^{2}\cdot11^{2}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 874225 can be written as 5 × 174845. |
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| 174845 can be written as 5 × 34969. |
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| 34969 can be written as 11 × 3179. |
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| 3179 can be written as 11 × 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 874225. |
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