Find the prime factorization of number 7225.
Answer
The prime factorization of 7225 is:
$$ 7225 = 5\cdot5\cdot17\cdot17 $$Which is the same as :
$$ 7225 = 5^{2}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7225 can be written as 5 × 1445. |
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| 1445 can be written as 5 × 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 7225. |
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