Question
Find the prime factorization of number 1682.
Answer
The prime factorization of 1682 is:
$$ 1682 = 2\cdot29\cdot29 $$Which is the same as :
$$ 1682 = 2\cdot29^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1682 can be written as 2 × 841. |
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| 841 can be written as 29 × 29. |
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| The end nodes are the prime factors of the number 1682. |
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