What are the factors of 34?

1 Answer
Apr 3, 2016

#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#.