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Which number can never be the unit digit of 237n, where n is a positive integer?radio_button_unchecked7radio_button_unchecked9radio_button_unchecked5radio_button_unchecked3radio_button_unchecked1

Question

Which number can never be the unit digit of 237n, where n is a positive integer?radio_button_unchecked7radio_button_unchecked9radio_button_unchecked5radio_button_unchecked3radio_button_unchecked1

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Solution

The unit digit of 237n, where n is a positive integer, depends on the unit digit of 7 raised to n. The unit digit of 7 raised to any positive integer n cycles through 7, 9, 3, and 1. Therefore, the number that can never be the unit digit of 237n is 5.

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