I am starting Number Theory this semester. My professor hands out notes but there is no textbook for the class. So hopefully you guys can help me with these seemingly easy problems.(adsbygoogle = window.adsbygoogle || []).push({});

Z = {...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...}

Z is used to denote the set of integers

1) Show that if a is an element of Z and 0< a, then 1<=a

2) Let a and b be integers. Let us say thata divides bif there is an integer c such that b = ac. Show that if b>0 anda divides bthen a<=b.

All we have learned so far are basic arithmetic properties, the Well-Ordering Principle, and the Induction Principle.

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# Questions about the basic properties of Integers

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