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Lesson: Challenging Problem Solving - 11t01

Advanced Number Properties: Remainder Questions

[Page 11 of 37]

Pick numbers on problems involving remainders.

A question like this may seem very abstract at first. But you can simplify it by picking values for m and n that are easy to work with and that satisfy the limitations of the question.


If m and n are positive integers, m divided by 7 leaves a remainder of 2, and n divided by 7 leaves a remainder of 5, what is the remainder when mn is divided by 7?

0
2
3
4
5

Choose numbers to represent m and n. Type your choices into the textboxes below, and then click Continue.

m =

n =


To come up with good, simple numbers, add the remainder to the number you're dividing by: m divided by 7 leaves a remainder of 2, so pick m = 7 + 2 = 9; n divided by 7 leaves a remainder of 5, so n = 7 + 5 = 12.

Now it should be easy to solve the problem.


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