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60. The number 60 has 12 divisors if you are counting the 1 and 60.

The divisors (given as factor pairs) are 1, 60, 2, 30, 3, 20, 4, 15, 5, 12, 6, 10.

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Q: What is the smallest number with exactly twelve divisors?
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Related questions

What is the smallest number with 11 factors?

1024 has exactly eleven. 60 has twelve, so it has eleven as well.


How many divisors of twelve?

12 has six divisors.


Why is twelve abundant?

Because the sum of its proper divisors is greater than the number itself.


What is the smallest number with twelve factors?

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What is the smallest number with exactly 12 factors?

The smallest positive integer with exactly 12 factors is 60.You may check to see that 60 has exactly twelve factors, by noting the following:60 = 1 X 60 = 2 X 30 = 3 x 20 = 4 X 15 = 5 x 12 = 6 x 10. The factors that are less than 8 are 1, 2, 3, 4, 5, and 6; the factors that are more than 8 are obtained by dividing the six factors already found into 60.Any number less than 60 must have six numbers less than 8 that divide into it, in order to have exactly twelve divisors. In fact, the requirement is more stringent than that: for a number (n, say) to have exactly twelve divisors, six of them must be less than the square-root of n. That you won't be able to find any is borne out by the fact that the least common multiple of any 6 of the first seven integers must be at least as great as the l. c. m. of the first six positive integers, namely 60.


What is the smallest whole number divisible by 2 3 and 4?

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What numbers have exactly twelve factors?

There are infinitely many such numbers. For example, take any prime number to the 11th power and the result will have exactly twelve factors.


What is the smallest positive whole number that is divisibe with zero remainder by both twelve and ten?

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What is the least common multiple of eight fifteenths and eleven twenty firsts and twelve twenty sevenths?

None. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more wholenumbers.


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List all abundant numbers 1 to 49?

An abundant number is any natural number (starting from 1) that is less than the sum of all its divisors excepting itself (the set of "all its divisors excepting itself" is also known as the set of its "proper divisors"). The lowest abundant number is twelve, and the first nine (all of those between one and fourty-nine, inclusive) are: 12 18 20 24 30 36 40 42 48