354972
What is the remainder when 354972 is divided by 7?
Age
11 to 14
Challenge level
Problem
What is the remainder when $354972$ is divided by $7$?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Student Solutions
Answer: 2
Using number properties
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This works because $354972=350000+4900+70+2$:
- Since $35$ is a multiple of $7$, so is $350000$.
- Since $49$ is a multiple of $7$, so is $4900$.
- $70$ is a multiple of $7$.
Using division
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