Question
Find the prime factorization of number 30771.
Answer
The prime factorization of 30771 is:
$$ 30771 = 3\cdot3\cdot13\cdot263 $$Which is the same as :
$$ 30771 = 3^{2}\cdot13\cdot263 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30771 can be written as 3 × 10257. |
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| 10257 can be written as 3 × 3419. |
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| 3419 can be written as 13 × 263. |
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| The end nodes are the prime factors of the number 30771. |
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