Question
Find the prime factorization of number 8025.
Answer
The prime factorization of 8025 is:
$$ 8025 = 3\cdot5\cdot5\cdot107 $$Which is the same as :
$$ 8025 = 3\cdot5^{2}\cdot107 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8025 can be written as 5 × 1605. |
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| 1605 can be written as 5 × 321. |
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| 321 can be written as 3 × 107. |
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| The end nodes are the prime factors of the number 8025. |
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