26 Aug 2013

More Brilliant Numbers: Lower Secondary Mathematics Competition Question

A brilliant number is defined as a whole number that is the product of just two prime factors, both of which have the same number of digits in base 10. For example, 21 (=3x7) and 25 (5x5) are 2-digit brilliant numbers but 77 (=7x11) is not; 143 (=11x13) is a 3-digit brilliant number.

Find the minimal and the maximal 3-digit brilliant numbers.

You may wish to try this question first: calculate the minimal and maximal 2-digit brilliant numbers.

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