How many multiples of 3 are there between 10 and 226?

To find that out, we divide 266 by 3,which we could then get 88.67,thus between 1 and 266 there would be 3 multiples, we then minus the number by 3 as multiples is before 10. Thus, the answer is 85

The lowest "multiple of 3 number" between 10 and 226 is 12. The highest "multiple of 3 number" between 10 and 226 is 225. Use the formula of arithmetic sequence to find how many multiples of 3.


Un stands for the nth term of the sequence. a is for the first term. d is for the difference, in this case the difference is 3 because we're using multiples of 3. What we're looking for is n.

Un = a + d(n - 1)
225 = 12 + 3(n - 1)
225 = 12 + 3n - 3
225 - 12 = 3n - 3
213 = 3n - 3
213 + 3 = 3n
216 = 3n
3n = 216
n = 216/3
n = 72

There are 72 numbers of multiple of 3

270 books in each shelves