In the following problems provide a complete explanation of why it is true(1) Letnbe an integer....

In the following problems provide a complete explanation of why it is true(1) Letnbe an integer. Justify the following statements.(a) The last digit ofnis even if and only ifnis divisible by 2.(b) The last two digits ofnare divisible by 4 if and only ifnis divisible by 4.(c) The last three digits ofnare divisible by 8 if and only ifnis divisible by 8.(d) The lastkdigits ofnare divisible by 2kif and only ifnis divisible by 2k.(2) Letnbe an integer. Justify the following statements.(a) The integernis divisible by 3 if and only if the sum of the digits is divisible by 3.(b) The integernis divisible by 9 if and only if the sum of the digits is divisible by 9.(3) What is the last nonzero digit at the end of 10! ? What is the last nonzero digit at the endof 100! ? What is the last nonzero digit at the end of 1,000,000! ? Describe a procedure forfinding the last non-zero digit at the end ofn! for anyn. Use that procedure to find thelast non-zero digit for the factorial of your student id number

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milcah answered 1 year ago

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