If \(65x=3^2\times 5^2\times 13,\) which of the following is not a factor of \(x?\)

[VJesus12]

If \(65x=3^2\times 5^2\times 13,\) which of the following is not a factor of \(x?\)

A. 3
B. 5
C. 9
D. 13
E. 15

[spoiler]OA=D[/spoiler]

Source: Princeton Review

[Scott@TargetTestPrep]

If \(65x=3^2\times 5^2\times 13,\) which of the following is not a factor of \(x?\)

A. 3
B. 5
C. 9
D. 13
E. 15

[spoiler]OA=D[/spoiler]

Solution:

Notice that 65 = 5 * 13, so dividing by 65 on both sides, we have:

x = 3^2 * 5

We see that 13 (choice D) is not a factor of x.

Answer: D