What factors to -264 and adds up to 25?

Answer 1

-239

Answer 2

Since the product is negative, -264, the factors have opposite signs. Since the sum is odd, those factors cannot be both even or odd.

-264 = -8(33) which satisfies the sum of 25.

How to think in order to find factors of 264?

The greatest dividend closer to 26 is 24 which leaves a difference of 2. So we have: 24|24.

The greatest divisors are 12|12, which gives us 12*22, but they are both even.

So we try 8|8, which gives us 8*33 and it works.