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Question

Which of the following numbers cannot be a factor of 243?

A
9
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B
27
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C
81
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D
69
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Solution

The correct option is D 69
243 is the repeated product of a single prime, 3.
243 = 3 x 3 x 3 x 3 x 3
So, the numbers that are factors of 243 are any combination of 3's.
Based on this, 9 (3 x 3), 27 (3 x 3 x 3), and 81 (3 x 3 x 3 x 3) are factors of 243, while 69 which is 3 x 23 cannot.

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