64
The number 64 is the least number that has exactly 7 factors because it is a perfect power of a prime, specifically (2^6). The number of factors of a number can be determined using the formula ((e_1 + 1)(e_2 + 1)...(e_n + 1)), where (e_i) are the exponents in its prime factorization. For 64, the factorization is (2^6), leading to ((6 + 1) = 7) factors. Smaller numbers either have fewer factors or do not meet the requirement of having exactly 7.
Prime numbers like 2, 3, 5 and 7
2 x 3 x 5 x 7 = 210
7 is a prime number, so its factors are 1 and 7.8 has factors of 1 , 2 , 4 , 8.You can check for factors by dividing the number by every integer (or whole number) between the number and zero. Every number that divides without leaving a remainder is a factor.
64, 729, 15625 and so on. Prime numbers to the 6th power.
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.
510510
There are an infinite number of integers with "only 7 factors". Any number which is the product of exactly 7 prime numbers.
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
Any number that is the 6th power of a prime integer.
Their common factors 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.