How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?
Question and options
How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?
- 54
- 52
- 20
- 18
Answer and explanation
Correct answer: B - 52
7200 = 2^5 * 3^2 * 5^2 has (5+1)(2+1)(2+1) = 54 divisors. Excluding 1 and 7200 leaves 52.
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