Divide it out
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
Age
7 to 11
Challenge level
Problem
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Getting Started
What is the lowest number which divides exactly by all the numbers from $2$ to $10$?
Student Solutions
Briony explained her way of working this out very well.
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Teachers' Resources
Divide it Out
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Why do this problem?
This problem requires logical thinking about factors and much multiplication! Learners must first find out what is the lowest number which divides exactly by all the numbers from $2$ to $10$ and then decide how this helps to answer the question asked. A calculator could be useful for checking.Key questions
How are you going to start on this problem?
Why not start by listing all the numbers from $2$ to $10$?
Which numbers do you not need because they are factors of other numbers you are using?