Question
Find the prime factorization of number 30681.
Answer
The prime factorization of 30681 is:
$$ 30681 = 3\cdot3\cdot7\cdot487 $$Which is the same as :
$$ 30681 = 3^{2}\cdot7\cdot487 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30681 can be written as 3 × 10227. |
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| 10227 can be written as 3 × 3409. |
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| 3409 can be written as 7 × 487. |
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| The end nodes are the prime factors of the number 30681. |
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