625 has five factors.
625
16
There are five numbers in that range with 12 factors, but none with exactly eleven.
A prime number has exactly two factors.
625 has five factors.
625 has five factors.16 does, among others.
625
16
There are five numbers in that range with 12 factors, but none with exactly eleven.
Any number with five factors is composite. There isn't one in that range.
A prime number has exactly two factors.
There are no prime numbers with three factors. By definition, a prime number has exactly two factors - 1 and itself.
The best way to tackle this is to take the largest 3 digit number (999) and work out its prime factors. You can then work down until you get one with exactly five prime factors. 999 is 3x3x3x37, 998 is 2x499, 997 is prime, 996 is 2x2x3x83, 995 is 5x199, 994 is 2x7x71, 993 is 3x331, 992 is 2x2x2x2x2x31, 991 is prime, 990 is 2x3x3x5x11. That is the first we came across with five prime factors. Therefore the largest 3 digit number with exactly five prime factors is 990.
A number with exactly five factors is a number that is a prime number raised to the fourth power (p4). The factors are 1, p, p2, p3, and p4. Examples: The 5 factors of 24 = 16 are 1, 2, 4, 8, and 16. The 5 factors of 34 = 81 are 1, 3, 9, 27, and 81. The 5 factors of 54 = 625 are 1, 5, 25, 125, and 625.
The smallest number with exactly eight factors is 24.
A number with exactly five factors is a number that is a prime number raised to the fourth power (p4). The factors are 1, p, p2, p3, and p4. Example: The 5 factors of 54 = 625 are 1, 5, 25, 125, and 625. The 5 factors of 74 = 2401 are 1, 7, 49, 343, and 2401. The 5 factors of 114 = 14641 are 1, 11, 121, 1331, and 14,641.