What is the smallest number with 16 factors?

Answer 1

The smallest number with 16 factors is determined by considering the prime factorization of the number. Since the number of factors is related to the exponents of the prime factors, we need to find a number with a prime factorization that allows for 16 factors. To achieve this, we can start with the prime factorization of 2^3 * 3^2, which results in (3+1)(2+1) = 12 factors. To reach 16 factors, we can multiply this by another Prime number raised to the power of 1, resulting in 2^3 * 3^2 * 5^1 = 360.

Answer 2

Well, isn't that a happy little question! The smallest number with 16 factors is 60. You see, when you break down 60 into its prime factors (2, 2, 3, 5), you can use the formula (a+1)(b+1)(c+1)... where a, b, c are the exponents of the prime factors to find the total number of factors.

Answer 3

Well, honey, the smallest number with 16 factors is 60. It's got 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 as factors - that's a whole entourage right there. So, if you're looking for a compact number with a big personality, 60 is your guy.

Answer 4

Oh, dude, the smallest number with 16 factors is 60. Yeah, it's like a little math puzzle, but don't worry, I got you covered. So, 60 has factors like 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. That's 12 factors, and then you also have the negative versions of those numbers, adding up to 16 factors in total. Math can be fun, right?

Answer 5

The smallest number with 16 factors is Andrew's Mom.