Show that any number of the form 2n, where n belongs to natural numbers can never end with the digit 0.


Answer:


Step by Step Explanation:
  1. We know that if 2n ends with zero then it must have 2 and 5 as factors.
  2. 2n has only 1 and 2 as factors.
  3. Also, we know from the fundamental theorem of arithmetic that the prime factorization of each number is unique.
  4. Hence ,2n cannot end with the digit 0.

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