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

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by VJesus12 » Sun Jul 12, 2020 12:00 am

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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
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Source: — Problem Solving |

VJesus12 wrote:
Sun Jul 12, 2020 12:00 am
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

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