Question
Find the prime factorization of number 30674.
Answer
The prime factorization of 30674 is:
$$ 30674 = 2\cdot7\cdot7\cdot313 $$Which is the same as :
$$ 30674 = 2\cdot7^{2}\cdot313 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30674 can be written as 2 × 15337. |
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| 15337 can be written as 7 × 2191. |
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| 2191 can be written as 7 × 313. |
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| The end nodes are the prime factors of the number 30674. |
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