Find the prime factorization of number 1089.
Answer
The prime factorization of 1089 is:
$$ 1089 = 3\cdot3\cdot11\cdot11 $$Which is the same as :
$$ 1089 = 3^{2}\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1089 can be written as 3 × 363. |
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| 363 can be written as 3 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 1089. |
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