Oh, dude, the least number with exactly 8 factors is 24. It's like, got factors 1, 2, 3, 4, 6, 8, 12, and 24. So, yeah, that's the magic number with just the right amount of factors to make it cool.
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30 has exactly 8 factors 1,2,3,5,6,10,15,30
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
Oh, dude, the largest two-digit number with exactly 7 factors is 48. Yeah, it's like a hidden gem in the world of numbers. It's got 1, 2, 3, 4, 6, 8, and 12 as factors, making it the cool kid with just the right amount of friends.
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.)