Any number that is the 6th power of a prime integer.
A number that has exactly two (positive) factors is called a prime number. For instance, the only factors of 7 are 1 and 7.
It is 2^6 = 64.
The largest two-digit number with exactly three factors is 99. A number has exactly three factors if it is the square of a prime number, specifically in the form ( p^2 ) where ( p ) is a prime. The only prime number whose square is a two-digit number is 7, since ( 7^2 = 49 ) and ( 11^2 = 121 ) exceeds two digits. Thus, 49 is the largest two-digit number with exactly three factors.
64
A two-digit number with exactly 7 factors must be of the form ( p^6 ), where ( p ) is a prime number, because the number of factors of ( n = p^e ) is ( e + 1 ). The only prime number that, when raised to the sixth power, results in a two-digit number is 2, since ( 2^6 = 64 ). Therefore, 64 is the only two-digit number that has exactly 7 factors.
A number that has exactly two (positive) factors is called a prime number. For instance, the only factors of 7 are 1 and 7.
729 is the second number with exactly 7.
There are an infinite number of integers with "only 7 factors". Any number which is the product of exactly 7 prime numbers.
510510
64 is the least number having exactly 7 factors: 1, 2, 4, 8, 16, 32, and 64.
All prime squares have exactly three factors.49 has exactly three factors: 1, 7, and 49.
510510
64
64
It is 2^6 = 64.
Their common factors are 1 and 7 .
The largest two-digit number with exactly three factors is 99. A number has exactly three factors if it is the square of a prime number, specifically in the form ( p^2 ) where ( p ) is a prime. The only prime number whose square is a two-digit number is 7, since ( 7^2 = 49 ) and ( 11^2 = 121 ) exceeds two digits. Thus, 49 is the largest two-digit number with exactly three factors.