Question

Show that 3^✖ 4^m can not end with the digit 0 or 5 for any natural number.​

Answer 1

Answer:

The prime factors of the number are 3 and 2.

If any number want to be end with zero it should have 2 and 5 as its prime factors.

The given number hasn't 5 as its prime factor. Hence it can not end with zero.

The given number want to be end with 5, it should 5 as its of prime factors. But 3^n  ∗ 4^m

 do not have 5 as a factor. Hence, it can not end with 5.