Question
Find the prime factorization of number 111111111.
Answer
The prime factorization of 111111111 is:
$$ 111111111 = 3\cdot3\cdot37\cdot333667 $$Which is the same as :
$$ 111111111 = 3^{2}\cdot37\cdot333667 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 111111111 can be written as 3 × 37037037. |
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| 37037037 can be written as 3 × 12345679. |
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| 12345679 can be written as 37 × 333667. |
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| The end nodes are the prime factors of the number 111111111. |
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