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by BRG on March 14, 2016

Sunday Times Teaser 2790 – Factoidels

by Tom Wills-Sandford

A teacher asked her class to find the smallest number that was exactly divisible by all the numbers from 1 to 5 inclusive. They quickly discovered that this was 60, a number which the teacher called the factoidel of 5. She then showed that the factoidel of 6 was also 60.

One pupil, Amelia, after studying factoidels at home, said she had found the highest set of four consecutive numbers with different factoidels (she had cleverly checked into the billions).

What were those four consecutive numbers?

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