show that the cube of any positive any positive integer will be in the form of 8m and
8m+1 and 8m+3 and 8m+5 and
8m+7 where m is some integer
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Let a be a positive integer. According to Euclid division lemma, a = bq + r where 0 ≤ r < b. ... Therefore, We proved that cube of a positive integer will be of the form 8 m , 8 m+ 1 , 8 m+3 , 8 m+5 , 8 m+ 7 where m is a whole number.
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