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Q: Which numbers less than 100 have exactly 12 distinct factors?

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11

4, 9, 25 and 49 They are squares of prime numbers.

4, 9, 25, 49

6 (1,2,3,6) 10 (1,2,5,10) and 15 (1,3,5,15).

The numbers less than 100 with exactly 6 factors are of the form a2b where a and b are different primes. 12, 18, 20, 28, 44, 45, 50, 52, 63, 68, 75, 76, 92 and 99.

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Just 36.

3*5*7*9 = 945 ...check if any number less than that has exactly four distinct factors.

Prime squares have three factors. There are 11 of them in that range.

By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.

All prime numbers less than 50 have exactly two factors. e.g. 2,3,5,7,11,13,17,19,23,29,31,37,41,43 & 47.

23 of them.

Four numbers less than thirty, 12, 18, 20, and 28, each have exactly 6 factors.

25 and 49

11

14 (I think).

there are 3 no.2,3 & 5

6, 8 and 10

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