Question

Find all the whole values of a for which the solution of the equation ax = 6 is a whole number.

Answer 1

`a=1,\ 2,\ 3,\ 6.`

Explanation:

A whole number is any number of a set
`\{0,\ 1,\ 2,\ 3,...\}`

The equation
`ax=6` has a solution
`x=(6)/(a),\ a\\eq 0.`

If
`a=1,` then
`x=(6)/(1)=6` is a whole number.

If
`a=2,` then
`x=(6)/(2)=3` is a whole number.

If
`a=3,` then
`x=(6)/(3)=2` is a whole number.

If
`a=6,` then
`x=(6)/(6)=1` is a whole number.

For all other values of
`a` equation
`ax=6` will have solution that is not a whole number.