solution.for this

Asked by ghastipratiksha | 9th Jul, 2020, 06:38: PM

Expert Answer:

If the number 6n where n belongs to N, were to end with a zero, then its  prime factorisation  must have 2 and 5 as its  factors.
But 6=2 x 3

6n = (2 x 3)n = 2n x 3n 

So Prime factors of 6n includes only 2 but not 5.

Also, from the Fundamental theorem of Arithmetic, the prime factorisation of a number is unique.

Hence, a number of the form 6n where n belongs to N, will never end with a zero.

Answered by Yasmeen Khan | 9th Jul, 2020, 08:57: PM