Show that any number of the form 2n, where n belongs to natural numbers can never end with the digit 0.
- All Questions
Step by Step Explanation:
- We know that if 2n ends with zero then it must have 2 and 5 as factors.
- 2n has only 1 and 2 as factors.
- Also, we know from the fundamental theorem of arithmetic that the prime factorization of each number is unique.
- Hence ,2n cannot end with the digit 0.