Question
Find the prime factorization of number 65025.
Answer
The prime factorization of 65025 is:
$$ 65025 = 3\cdot3\cdot5\cdot5\cdot17\cdot17 $$Which is the same as :
$$ 65025 = 3^{2}\cdot5^{2}\cdot17^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 65025 can be written as 5 × 13005. |
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| 13005 can be written as 5 × 2601. |
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| 2601 can be written as 3 × 867. |
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| 867 can be written as 3 × 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 65025. |
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