Often a problem can appear difficult until it is looked at
in just the right way. The puzzle for
this issue is just such a problem. The answer is "obvious" after you find it.
Find two numbers containing no zeros that have a
product of 1,000,000,000.
After solving this problem you may wish to tackle the
following variation.
Explain why it is not possible to find two numbers
containing no zeros that have a product of
1,000,000,000,000.
The above two problems indicate that powers of ten can be
classified according to whether or not they can be
factored into
the product of two numbers that contain no zeros. As a final
puzzle, find as many powers of ten
as you can that can be
factored into two numbers that contain no zeros.