Question
Find the prime factorization of number 30926.
Answer
The prime factorization of 30926 is:
$$ 30926 = 2\cdot7\cdot47\cdot47 $$Which is the same as :
$$ 30926 = 2\cdot7\cdot47^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30926 can be written as 2 × 15463. |
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| 15463 can be written as 7 × 2209. |
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| 2209 can be written as 47 × 47. |
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| The end nodes are the prime factors of the number 30926. |
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