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How many positive integers are there less than 10000?
One less than 10000.
How many positive integers less than 100 have an odd number of positive divisors?
The squares -- nine of them.
How many positive integers less than or equal to 100 have a prime factor that is greater than 4?
There are 80 such integers.
How many positive integers less than 1000 have distinct digits?
10*9*8=720
How many positive integers less than 100 and divisible by 3 are also divisible by 4?
8 of them.
How many positive three digit integers are multiples of 85?
10 of them.
How many positive multiples of 7 are less than 150?
there are 21 multiples.
How many positive integers are less then 50?
49
How many positive integers less than 1000 are not divisible by 3?
666 integers.
How many positive integers less than 2009 are divisible by 28 but not by 12?
To find the positive integers less than 2009 that are divisible by 28 but not by 12, we need to find the multiples of 28 that are not multiples of 12. The least common multiple of 28 and 12 is 84, so we need to find multiples of 28 that are not multiples of 84. Since 28 = 2^2 * 7 and 84 = 2^2 * 3 * 7, the multiples of 28 that are not multiples of 84 are those that have an odd power of 2. The highest multiple of 28 less than 2009 that satisfies this condition is 1976. Therefore, there are 1976 / 28 = 71 positive integers less than 2009 that are divisible by 28 but not by 12.
How many positive integers less than 2010 have an odd number of factors?
There are 44 positive integers less than 2,010 that have an odd number of factors.
How many positive integers less than 20 are prime?
Eight.
How many positive integers less than 1000 are divisible by 7 and are not divisible by 11?
There are 130 positive integers less than 1,000 that are divisible by seven but not divisible by 11
How many positive integers less than 1000 are either divisible by 2 or by 11?
There are 544 positive integers less than 1,000 that are either divisible by two or by 11.
How many positive integers less than 200 are divisible by 2 3 5?
6
How many positive integers are there less than 10000?
One less than 10000.
How many positive integers less than 100 have an odd number of positive divisors?
The squares -- nine of them.
