Check whether 14n can end with the digit zero for any natural number
Answers
Answered by
4
14^n can be also expressed as (2×7)^n.
Since the factors are 2 and 7 , 7 can never have a 0 in its unit s place.
Therefore, by Fundamental Theorem OF Arithmetic 14^n can't end with the digit 0
Anonymous:
Plz mark mine as the brainliest
Answered by
3
Answer:
please mark it as brainliest!
Step-by-step explanation:
Assume that 14th can end with 0,
=14 =2 x 7
= 14n = (2 x 7)n............. (1)
(1) is unique by fundamental theorem of arithmetic and it doesn't contain 5 .
Hence, 14n never ends with digit 0.
hope it helped you!
Similar questions