# DAY 299: The Main Challenge

Which is the only 2-digit number to have exactly SEVEN factors?

. . . and an additional challenge for the number puzzle enthusiast; which is the only 3-digit number to have exactly SEVEN factors? The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.

The 4th & 5th rows contain the following fourteen numbers:

3   6   7   10   16   21   32   35   44   50   54   60   81   84

What is the sum of the two square numbers? The Factors Challenge

Which is the ONLY number on the following list that is a factor of 299?

3     5     7     9     11     13     15     17    19 The Mathematically Possible Challenge

Using 38 and 10 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

6    12    18    24    30    36    42    48    54    60

#6TimesTable The Target Challenge

Can you arrive at 299 by inserting 8, 9, 10, 11 and 12 into the gaps below?

•  (◯+◯)×◯+(◯×◯) = 299 Answers can be found here. Click Paul Godding for details of online maths tuition. This entry was posted in 7puzzleblog.com. Bookmark the permalink.

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