The smallest number with exactly eight factors is 24.
30 has exactly 8 factors 1,2,3,5,6,10,15,30
First, I determined the least common multiple to see how many factors it had. The least common multiple is the product of the two numbers divided by the greatest common factor, which is 35 x 77 ÷ 7 = 385. The factors of 385 are 1, 5, 7, 11, 35, 55, 77, and 385. There are 8 factors, so this number satisfies the requirements.
7 is a prime number, and not a factor of 8 or 9. 1, 2, 4, and 8 are factors of 8. 1, 3, and 9 are factors of 9. 7, 8, and have no common factors. So the least common multiple of 7, 8, and 9 are 7 X 8 X 9, which equals 504504
A factor is what a number is divisible by. 16: 1, 2, 4, 8, 16
As 8 and 6 are both factors of the number, we want the lowest common multiple of 6 and 8 which is 24. There are at least 24 kids. (The number of kids is a multiple of 24.)
64 is the least number having exactly 7 factors: 1, 2, 4, 8, 16, 32, and 64.
8
8 (1,2,4,8)
24
88 has exactly eight factors (1, 2, 4, 8, 11, 22, 44 & 88)
There are an infinite number of them. 8 has three prime factors, 30 is the first with three distinct prime factors.
8, 2*2*2
Any composite number. Examples: 4 and 9 . . . (three factors) 6, 8, and 10 . . . (four factors) 12 . . . (six factors) 60 . . . (twelve factors)
A number that has exactly an odd number of factors is a power of another number. A number between 10 and 30 that is a power is 16. It is 24 (as well as 42) and its factors are 1, 2, 4, 8, and 16.
Indeed, the number 16 has 5 factors, 1, 2, 4, 8, and 16.
The least common multiple of 16 and 8 is 16. Because 16 is a multiple of 8, it is automatically the LCM of the pair. Another approach: To find the least common multiple, factor each number to its prime factors and then multiply all the factors from the first number with any factors in the second number that are not repeated from the first number. The prime factors of 8 are 2 x 2 x 2. The prime factors of 16 are 2 x 2 x 2 x 2.
It is 30.