What will be the units digit if 7^123 is divided by 4?
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Depends on whether you mean 1234567!⋅7654321 or (1234567)!⋅7654321 .
In the first case, you’re multiplying an odd number by an odd number divisible by 5 , which will always result in a number ending with 5 . In the second case, the factorial is already divisible by 10 , therefore the final digit is 0 .
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