30 of them.
The smallest whole number that has exactly 6 distinct positive divisors is 12. The divisors of 12 are 1, 2, 3, 4, 6, and 12. These are the only positive integers that evenly divide 12, making it the smallest number with exactly 6 distinct positive divisors.
10*9*8=720
Nine divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36.
The integer 512 has the largest number of (non-distinct, non-trivial) divisors: nine. 512=2*2*2*2*2*2*2*2*2 The largest number of distinct divisors a number less than 1000 has is 4. The following is a list of all such numbers: 210, 330, 390, 420, 462, 510, 546, 570, 630, 660, 690, 714, 770, 780, 798, 840, 858, 870, 910, 924, 930, 966, 990
A composite number is a positive integer greater than 1 that has more than two distinct positive divisors. In this case, the number 51 is a composite number because it has divisors other than 1 and itself, such as 3 and 17. Numbers 31, 41, and 61 are all prime numbers, as they only have two distinct positive divisors, 1 and the number itself.
720
The accepted definition of a prime number is a natural number which has exactly two distinct divisors. The number 1 has only one distinct divisor: itself. The number 0 can be said to have infinitely many distinct divisors.
The smallest whole number that has exactly 6 distinct positive divisors is 12. The divisors of 12 are 1, 2, 3, 4, 6, and 12. These are the only positive integers that evenly divide 12, making it the smallest number with exactly 6 distinct positive divisors.
10*9*8=720
A practical number is one that is the sum of distinct proper divisors.
136 has eight divisors.
12 has six divisors.
100,000 has 36 divisors.
600 has 24 divisors.
84 has 12 divisors.
2,835 has 20 divisors.
320 has 14 divisors.