Why does removing return give me an error: expected type `()` but found type

Rust is expression-oriented. In any block, the last expression inside it is the value of the block. Thus, for a function, the last value in the block is treated as a return value.

In other blocks, though, this is not the case—the last value is, after all, treated as the value of the block, not as a return value for the function.

Take the snippet in isolation with just a bit added for clarity:

let has_factor = if number % i == 0 && i != number {
    false
}

This means that the outcome of the if statement as a whole is false if the clause is true, and that value is then duly inserted into the has_factor variable. If the clause is not true, then the else clause will be evaluated. Given that there is no else clause, it is as though else { } had been written, which is equivalent to else { () }. This else block evaluates to (), the unit type. Now we have a mismatch: is the if block (and hence the has_factor variable) of the type bool, as the if block requires, or (), as the [lack of] else block requires? This is where the error comes from.

Summary: you can’t just omit the return keyword, because that’s not what the expression orientation means. At the end of a function, they boil down to the same thing and the sans-return form should be preferred, but in other locations they are not equivalent and return must be explicit.

Final code:

fn is_prime(number: i64) -> bool {
    for i in 2..number {
        if number % i == 0 && i != number {
            return false;
        }
    }
    true
}