Question
Find the prime factorization of number 30609.
Answer
The prime factorization of 30609 is:
$$ 30609 = 3\cdot3\cdot19\cdot179 $$Which is the same as :
$$ 30609 = 3^{2}\cdot19\cdot179 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30609 can be written as 3 × 10203. |
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| 10203 can be written as 3 × 3401. |
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| 3401 can be written as 19 × 179. |
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| The end nodes are the prime factors of the number 30609. |
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