check weather 6^n can end with digit 0 for any natural number n
Answers
Answered by
5
Answer:
yes
Step-by-step explanation:
whenever 6 is multiplied to a multiple of 5 i.e, n= multiple of 5 will result in a number ending with 0
whenever any multiple of 5 is multiplied with any even number the resulting number always ends with 5
for example:
6 × 5= 30
6 x 0= 0
6 x 10= 60
6 x 15= 90
Answered by
9
Answer:
hey mate here is your answer....
Step-by-step explanation:
➡️ If any number ends with the digit 6, it should be divisible by 10 or in other word, it will also be divisible by 2 and 5 as 10 = 5x2
➡️ Prime factorization of 6^n = (2 x 3) ^n
➡️ It can be observed that 5 is not in the prime factorization of 6^n
➡️ Hence for any value of n, 6^n will not be divisible by 5.
➡️ Therefore 6^n cannot end with digit 0 for any natural n.
Hope it helps!☺️
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