Question
Find the prime factorization of number 18225.
Answer
The prime factorization of 18225 is:
$$ 18225 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5 $$Which is the same as :
$$ 18225 = 3^{6}\cdot5^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 18225 can be written as 5 × 3645. |
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| 3645 can be written as 5 × 729. |
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| 729 can be written as 3 × 243. |
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| 243 can be written as 3 × 81. |
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| 81 can be written as 3 × 27. |
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| 27 can be written as 3 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 18225. |
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