Question

What are the factors of 34?

Answer 1

`1, 2, 17 and 34`

Explanation:

By definition, `a` is a factor of `b`, or `a|b` iff and only if there exists an integer `k in ZZ` such that `b/a=k or b=ka`.
In other words, `b/a` leaves a zero remainder.

In particular then, the factors of `34` are all natural numbers that can divide into `34` without leaving a remainder.
In other words, all `a` such that `34/a in ZZ`.

So therefore the factors of `34` are `1, 2, 17, 34`.