When 727^35 is divided by 5, the remainder is
Share
When 727^35 is divided by 5, the remainder is
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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.
Verified answer
Answer:
3 WILL BE REMINDER WHEN DIVIDED BY 5