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- It is not a multiple of three as its digits don't add up to a multiple.
- It is not a multiple of 7 because 210 is (as 21 is 3 * 7) and it's too near.
- Consider the hypothesis that it is multiple of 11.
- 220 is a multiple of 11.
- 220 is a multiple of 11 because 22 is.
- 220 - 11 is 209.
- So 209 is a multiple of 11. What is the other factor?
- Consider the hypothesis that it is a multiple of 19.