Question

When 727^35 is divided by 5, the remainder is​

Answer 1

Answer:

3 WILL BE REMINDER WHEN DIVIDED BY 5

Answer 2

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.