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How many positive divisors does the number 25 * 36 have? (Here 25 * 36 means the product of twenty-five and thirty-six.)
- 8
- 27
- 24
- 30
Correct answer: 27
Solution
25 * 36 = 900 = 2² * 3² * 5², so the number of positive divisors is (2+1)(2+1)(2+1) = 27.
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