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Count cells that contain odd numbers

Excel formula: Count cells that contain odd numbers
Generic formula 

To count cells that contain only odd numbers, you can use a formula based on the SUMPRODUCT function together with the MOD function.

In the example, the formula in cell E5 is:


This formula returns 4 since there are 4 odd numbers in the range B5:B10 (which is named range, "rng" in the formula).


The SUMPRODUCT function works directly with arrays.

One thing you can do quite easily with SUMPRODUCT is perform a test on an array using one or more criteria, then count the results.

In this case, we are running a test for an odd number, which uses the MOD function:


MOD returns a remainder after division. In this case, the divisor is 2, so MOD will return a remainder of 1 for any odd integer, and a remainder of zero for even numbers.

Inside SUMPRODUCT, this test is run on every cell in B5:B10, the result is an array of TRUE / FALSE values:


After we coerce the TRUE/FALSE values to numbers using the double negative, we have:


SUMPRODUCT then simply sums these numbers and returns 4.

Dave Bruns

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