When 727^35 is divided by 5, the remainder is
Answers
Answer:
3 WILL BE REMINDER WHEN DIVIDED BY 5
Step-by-step explanation:
Given :-
727^35
To find :-
Find the remainder when 727^35 is divided by 5 ?
Solution :-
Given number = 727^35
Given divisor = 5
We know that
A number is divisible by 5 if the digit 0 or 5 in its ones place.
The unit place of 727 = 7
7^1 = 7
The unit digit = 7
7^2 = 7×7 = 49
The unit digit = 9
7^3 = 7×7×7 = 343
The unit digit = 3
7^4 = 7×7×7×7 = 2401
The unit digit = 1
7^5 = 7×7×7×7×7 = 16807
The unit digit = 7
The pattern 7,9,3,1 repeats for every 4 terms
The power = 35
35 = 8×4+3
7^35 = 7^32 × 7^3
The unit place of 7^35
=> 1×7^3
=> 1× unit place of 7^3
=> 1× 3
=> 3
The unit place of 7^35 = 3
So , If 727^35 divided by 5 the remainder is 3
Answer:-
The remainder when 727^35 is divided by 5 is 3
Used formulae:-
Divisibility by 5:-
A number is divisible by 5 ,if the number has either 5 or 0 in its ones place.