Sunday Times Teaser 2950 – Ten Digits
by Andrew Skidmore
Published April 7 2019 (link)
Without repeating a digit I have written down three numbers, all greater than one.
Each number contains a different number of digits.
If I also write down the product of all three numbers, then the total number of digits I have used is ten.
The product contains only two different digits, each twice, neither of which appear in the three original numbers.
What is the product?