Why do programming and math go together?

[wtd]

Is it so that programmers can calculate the relative efficiencies of algorithms?

Is it to make it easier for programmers to implement mathematical functions like factorial?

Not in the slightest.

It's rather simpler than that. The same abstract thinking that abounds in those good at math is also an invaluable asset in programming.

[MysticVegeta]

I have seen some people really good at programming but when math hits a programming question, watch them get pwned. I have seen them getting really good CCC scores and being int he last in Fermat and euclids

[codemage]

The logic element of math is the same intelligence area that allows programmers to problem solve.

There are other areas of math that can blank the best programmers, but without a fundamental sense of math-logic, coders are screwed.