Question
Find the prime factorization of number 20025.
Answer
The prime factorization of 20025 is:
$$ 20025 = 3\cdot3\cdot5\cdot5\cdot89 $$Which is the same as :
$$ 20025 = 3^{2}\cdot5^{2}\cdot89 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 20025 can be written as 5 × 4005. |
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| 4005 can be written as 5 × 801. |
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| 801 can be written as 3 × 267. |
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| 267 can be written as 3 × 89. |
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| The end nodes are the prime factors of the number 20025. |
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