Remainders

This week our learning intention is to use division with remainders

The question is...

We know that When 59 is divided by 5, the remainder is 4 When 59 is divided by 4, the remainder is 3 When 59 is divided by 3, the remainder is 2 When 59 is divided by 2, the remainder is 1

Can you find the smallest number with the property that when it is divided by each of the numbers 2 to 10, the remainder is always one less than the number it is has been divided by? Don't forget to explain your reasoning.

To show you have been successful we should see - Use of trial and error - Answers that worked and that didn't - A sentence or two explaining why the number you have found is the smallest possible.