Find the prime factorization of number 9025.
Answer
The prime factorization of 9025 is:
$$ 9025 = 5\cdot5\cdot19\cdot19 $$Which is the same as :
$$ 9025 = 5^{2}\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9025 can be written as 5 × 1805. |
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| 1805 can be written as 5 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 9025. |
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