Question
Find the prime factorization of number 30789.
Answer
The prime factorization of 30789 is:
$$ 30789 = 3\cdot3\cdot11\cdot311 $$Which is the same as :
$$ 30789 = 3^{2}\cdot11\cdot311 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30789 can be written as 3 × 10263. |
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| 10263 can be written as 3 × 3421. |
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| 3421 can be written as 11 × 311. |
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| The end nodes are the prime factors of the number 30789. |
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