All prime squares have just three factors. Example: 9, 25
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Prime numbers have exactly two factors.All prime numbers have only 2 factors whereas composite numbers have more than 2 factors
Prime numbers have only two factors.
The squares of all prime numbers have exactly 3 factors. The numbers under fifty that are the squares of primes are 4 (1, 2, and 4), 9 (1, 3, and 9), 25 (1, 5, and 25), and 49 ( 1, 7, and 49).
Numbers that have only 2 factors are prime numbers
The number that has exactly 15 factors is 28. To determine the number of factors a number has, you can prime factorize the number and then add 1 to each exponent in the prime factorization and multiply these numbers together. In the case of 28, the prime factorization is 2^2 * 7^1, so the number of factors is (2+1) * (1+1) = 3 * 2 = 6. To have exactly 15 factors, the number needs to be a square of a prime number, so 28 = 2^2 * 7^1 fits this criteria.