Question
Find the prime factorization of number 30821.
Answer
The prime factorization of 30821 is:
$$ 30821 = 7\cdot7\cdot17\cdot37 $$Which is the same as :
$$ 30821 = 7^{2}\cdot17\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30821 can be written as 7 × 4403. |
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| 4403 can be written as 7 × 629. |
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| 629 can be written as 17 × 37. |
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| The end nodes are the prime factors of the number 30821. |
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