Q. Show that any positive odd integer is of the form 4q+1 or 4q+3 where q is some

integer.
Q. Show that the square of an odd positive integer can be of the form 6q+1 or 6q+3
for some integer q.
Q. Prove that the square of any positive integer is of the form 3m or 3m+1.
Q. For any positive integers n, prove that n3-n is divisible by 6.
Q. Show that one and only out of n,n+4,n+8,n+12 and n+16 is divisible by 5,
where n is any positive integer.
Q. Write the prime factors of 546.

 

 

 

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