Question
Find the prime factorization of number 110889.
Answer
The prime factorization of 110889 is:
$$ 110889 = 3\cdot3\cdot3\cdot3\cdot37\cdot37 $$Which is the same as :
$$ 110889 = 3^{4}\cdot37^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 110889 can be written as 3 × 36963. |
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| 36963 can be written as 3 × 12321. |
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| 12321 can be written as 3 × 4107. |
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| 4107 can be written as 3 × 1369. |
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| 1369 can be written as 37 × 37. |
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| The end nodes are the prime factors of the number 110889. |
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