Multiples Between

Free interactive math game: Multiples Between — Count in range. Part of the Divisibility & Numbers category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. How many multiples of 5 are strictly between 22 and 67?
  2. How many multiples of 7 are strictly between 13 and 45?
  3. How many multiples of 5 are strictly between 23 and 44?
  4. How many multiples of 3 are strictly between 19 and 62?

About this exercise

Counting multiples that fall strictly between two numbers.

How to solve it

Find the first multiple above the lower bound and the last one below the upper bound, then count the steps between them.

Worked example

Multiples of 6 strictly between 29 and 64 run 30, 36, 42, 48, 54 and 60 — six of them.

Common mistake

Including a boundary. Strictly between excludes both endpoints even when they are multiples themselves.