There are infinitely many pairs.
Suppose x is any non-zero number. Let y = 32/x.
Then x*y = x*(32/x) = 32
Then there are infinitely many sets of 3 numbers, of 4 numbers, etc.
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16 and 2
962
no 3 numbers add to equal 10 and multiply to equal 40.
The 2 numbers that multiply together to equal 678 are 6 and 113.
2x25