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What is the smallest whole number that has exactly 6 distinct positive 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.
How many positive integers less than 1000 have distinct digits?
10*9*8=720
How Many divisors does 36 have?
Nine divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36.
What integer from 1 through 1000 has the most divisors?
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
Which of the numbers 31 41 51 and 61 is a composite number?
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.
