Question

Show that any positive even integer is 9f the form 6q 6q+2 6q+4 for some integer 9

Answer 1

by Euclid's algorithm
a=bq+r
if r=0
a=6q+0
a=6q (it is always even)
if r=2
a=6q+2 (it is always even)
if r=4
a=6q+2 (it is always even)
so the integer is even



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