The square of any Prime number has exactly three factors: 22, 32, 52, etc.
The number that is greater than 12, less than 40, and has exactly 3 factors is 25. A number has exactly 3 factors if it is the square of a prime number. In this case, 25 is the square of the prime number 5 (5² = 25), and it has the factors 1, 5, and 25.
24
14 (I think).
the number 90 has the most factors under 100
The answer is 25 because it has the factors 1,5,25! :)
That would be 1. The only factor of 1 is 1. All other whole numbers have at least two factors. Prime numbers have exactly two factors, while composite numbers have more than two factors.
The smallest number that has exactly three factors is 4.
The number that is greater than 12, less than 40, and has exactly 3 factors is 25. A number has exactly 3 factors if it is the square of a prime number. In this case, 25 is the square of the prime number 5 (5² = 25), and it has the factors 1, 5, and 25.
There are 12 numbers less than 150 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121,144.
24
14 (I think).
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
840
36
36
The three greatest whole numbers less than 200 that each have an odd number of factors are 144, 169 and 196.
A whole number has an odd number of unique factors if and only if it is a perfect square. The perfect squares less than 10 are 0, 1, 4, and 9. Therefore, there are four whole numbers less than 10 that have an odd number of unique factors.