Either 22 times 2 or 4 times 11.
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As a product of its prime factors: 2*2*11 = 44
Well, well, well, aren't we getting fancy with our math riddles? The two numbers you're looking for are 20 and 4. They multiply to 44 and add up to 24. So there you have it, math whiz!
The only prime number that is an even number is 2, and there is no prime number that can be multiplied by 2 that gives 44 as the product.
2 x 2 x 11 = 44 (you didn't specify whether each of the three number have to be different).