Question
Find the prime factorization of number 2009.
Answer
The prime factorization of 2009 is:
$$ 2009 = 7\cdot7\cdot41 $$Which is the same as :
$$ 2009 = 7^{2}\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2009 can be written as 7 × 287. |
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| 287 can be written as 7 × 41. |
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| The end nodes are the prime factors of the number 2009. |
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