1, 29, 841.
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The factors of 841 are: 1 29 841
1682.
Numbers having exactly three factors are the squares of prime numbers. Examples of these numbers greater than 100 are 121, 169, 289, 361, 529, 841, etc.
When finding the factors of 841, the largest number you would test is 29. No prime number higher than 29 could be a factor because the square of that number would exceed 841.
Odd