maths

What is the smallest positive integer with exactly 12 (positive) divisors?

1. 👍
2. 👎
3. 👁
1. 36 (2^2 3^2) seems likely
1 2 3 4 6 9 12 18 36 nope

48 (2^4 3^1)?
1 2 3 4 6 8 12 16 24 48 nope

72 (2^3 3^2)?
1 2 3 4 6 8 9 12 18 24 36 72
Yes

1. 👍
2. 👎

Similar Questions

1. Maths

The smallest positive integer value of n for which 168 n is a multiple of 324

2. math

Find the smallest positive integer not relatively prime to 2015 that has the same number of positive divisors as 2015.

3. math

1)The function f is defined by the equation f(x)+ x-x^2. Which of the following represents a quadratic with no real zeros? A)f(x) +1/2 B)f(x)-1/2 C)f(x/2) D)f(x-1/2) 2) If I^(2k) = 1, and i = radical -1, which of the following

4. math

U= { all positive integer less than or equal to 30} M={all even positive numbers less than or equal to 20} N={all odd number less than or equal to 19} S={all integer x: 10

1. Math

Tell whether the difference between the two integers is always, sometimes, or never positive. 1)Two positive integers. Never 2)Two negative integers. Sometimes. 3)A positive integer and a negative integer. Sometimes. 4)A negative

2. Calculus

What would the smallest positive integer be for n if: y=sinx and y^(n) means the nth derivative of y with respect to x.

3. math

Rich chooses a 4-digit positive integer. He erases one of the digits of this integer. The remaining digits, in their original order, form a 3-digit positive integer. When Rich adds this 3-digit integer to the original 4-digit

4. math

Which statement is true? A.The sum of two positive integers is sometimes positive, sometimes negative. B.The sum of two negative integers is always negative. C.The sum of a positive integer and a negative integer is always

1. math

Show that any positive integer is of the form 4q, 4q+2, where q is any positive integer.

2. Math

Prove that a^3 ≡ a (mod 3) for every positive integer a. What I did: Assume a^3 ≡ a (mod 3) is true for every positive integer a. Then 3a^3 ≡ 3a (mod 3). (3a^3 - 3a)/3 = k, where k is an integer a^3 - a = k Therefore, a^3

3. math

how many prime positive integers are divisors of 555?

4. algebra

Find two consecutive positive integers such that the sum of their squares is 85. n^2+(n+1)^2+2n = 85 n^2+n^2+2n+1=85 2n^2+2n=84 n^2+n=42 n^2+n-42=0 (n-6)(n+7)=0 n=6 n=-7 Is my work and answer correct? -7 is not a positive integer.