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Weekly Problem 48 - 2013
What is the remainder when the number 743589×301647 is divided by 5?
What is the remainder when the number 743589×301647 is divided by 5?
Age
11 to 14
Challenge level
Problem
What is the remainder when the number $743 ~589\times301 ~647$ is divided by $5$?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Student Solutions
Answer: $3$
The last digit comes from $9\times7=63$
So the last digit is $3$
Last digit $0$ - multiples of $5$
Last digit $3$ - remainder of $3$