Question
Find the prime factorization of number 108045.
Answer
The prime factorization of 108045 is:
$$ 108045 = 3\cdot3\cdot5\cdot7\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 108045 = 3^{2}\cdot5\cdot7^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 108045 can be written as 5 × 21609. |
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| 21609 can be written as 3 × 7203. |
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| 7203 can be written as 3 × 2401. |
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| 2401 can be written as 7 × 343. |
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| 343 can be written as 7 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 108045. |
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