Show that any number of the form 6n,where nEn can never end…

6n_ _ _ _ _ _ _ _ _ _ _ _ _

kuch Kam ke baat =for any numbers to end with 0,it’s prim factorization must contain 2 and 5 both

n=1—> 6=23 (but there is 2 but not 5)

n=2—>6=(23)—->2323 (there is 2 but not 5)

n=3—>6=(23)—>232323(same situation is there)

n=100—>6=(23)(same sisituation is there)

n=n—>6n=(23)n

therefore,6n cannot end with 0 becbecause it’s prim factorization doesn’t contain 2 and 5 both. Thank You


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