Question

The relation 'is a factor of' on the set of natural numbers is not___________

• A. reflective
• B. symmetric
• C. anti symmetric
• D. transitive

Answer 1

The correct option is B symmetric

A relation is said to be symmetric if an element a is related to b then b is also related to a.
Suppose factor of a number say $10=1,2,5,10$
We can notice that factors of $10$ are all these numbers, but the reverse is not true for each factor. That is $10$ is not a factor of $1$ or $2$ or $5$.
So, this relation is not symmetric.