There are 457 such numbers.
128!
10
10 (they are 105, 126, 147, 168, 189, 210, 231, 252, 273, and 294)
9000 integers.
There are 9 integers.
There are 3,333 multiples of three that fall between 1 and 10,000.
128!
There are 57 such numbers.
10
There are 67 multiples of 6 and 50 multiples of 8 in that range. Their total, 117, will include numbers that are both.
LCM of 3 and 7 under 40 is 21
To find the integers between 100 and 150 that can be divided by either 3 or 4, we can first calculate the multiples of 3 and 4 in that range. The multiples of 3 between 100 and 150 are 102, 105, ..., 150, giving us 17 multiples. The multiples of 4 are 100, 104, ..., 148, which gives us 13 multiples. We also need to exclude the overlap (multiples of 12) which are 108, 120, 132, 144, totaling 4. Thus, the total count is 17 + 13 - 4 = 26 integers.
10 of them.
To find the integers from 4 to 50 inclusive that are neither multiples of 3 nor 4, first determine the total count of integers in this range, which is (50 - 4 + 1 = 47). Next, calculate the multiples of 3 and 4 within this range: there are 16 multiples of 3 (from 6 to 48) and 12 multiples of 4 (from 4 to 48). Use the principle of inclusion-exclusion to account for overlaps (multiples of 12), resulting in a total of 22 integers that are multiples of either 3 or 4. Subtracting this from the total gives (47 - 22 = 25) integers that are neither multiples of 3 nor 4.
They are the infinitely many integers of the form 322*n where n is any integer.
All multiples of 3 have digits that add up to a multiple of 3. There are 333 multiples of 3 between 1 and 1000.
10 (they are 105, 126, 147, 168, 189, 210, 231, 252, 273, and 294)