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All prime squares have exactly three factors.49 has exactly three factors: 1, 7, and 49.
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.
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Seven is a prime number. A prime number has only itself and 1 as factors. So the factors of seven are 1 and 7. 1 and 7
7 is a prime number because it is only divisible by 1 and 7.