Prime squares
The square of a prime number.
The square of any prime number has exactly 3 factors. They are: 1). 1 2). the number itself 3). the prime number which is its square-root
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The square of any prime number has exactly three factors: 22, 32, 52, etc.
The largest two-digit number that has exactly three factors is 99. A number has exactly three factors if it is the square of a prime number. In this case, ( 9 = 3^2 ) has three factors: 1, 3, and 9. However, since 99 is the largest two-digit number, we consider its factors, but it does not meet the criterion. The correct answer is 81, which is ( 9^2 ).
A number has exactly three factors if and only if it is the square of a prime number.
The square of a prime number.
625 has five factors.
The number 9: factors are 9, 3, and 1.
The smallest number that has exactly three factors is 4.
The square of any prime number has exactly 3 factors. They are: 1). 1 2). the number itself 3). the prime number which is its square-root
3 is a prime number because it has exactly two distinct factors. The only factors of a prime number are 1 and itself. The only factors of 3 are 1 and 3, so it is a prime number.
A prime number, like 2, 3 or 5.
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
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Prime squares
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