What is the remainder left when the factorial of 96 is divided by 97?

According to wilsons theorem , if p is a prime number then (p-1)!+ 1 is divisible by p. So here the remainder obtained when 96! is divided by 97 the remainder obtained is 96.

What is the remainder of 4 to the power 96 divided by 6?

So 96 even and (4^96) leaves Remainder Zero when divided by 6. Answer Zero.

What is the remainder when is divided by 5?

5 divided by 5 is 1 with a remainder of 0; 6 divided by 5 is 1 with a remainder of 1; 7 divided by 5 is 1 with a remainder of 2.

What is the remainder when 97 factorial is divided by 101?

101 is a prime number, therefore Wilson’s theorem applies: On the other hand, Therefore, the remainder is 17.

What is the remainder when 209 factorial is divided by 422?

Edited version : 74 is the remainder.

What is the remainder when 4 Power 96?

What is the remainder when 496 is divided by 6? You can solve this question by observing the pattern. Thus, any power of 4 when divided by 6 leaves a remainder of 4. The correct option is D.

How do you solve 96 divided by 4?

Using a calculator, if you typed in 96 divided by 4, you’d get 24. You could also express 96/4 as a mixed fraction: 24 0/4.

How do you solve 32 divided by 5?

Let’s use mental math to solve: We know that 5 x 6 = 30, so 32 divided by 5 is 6 with a remainder 2. Put the remainder of 2 over the divisor, which is 5, to arrive at our answer in fraction form: 6 2/5.

What is the remainder when 599 is divided by 9?

What is the remainder when 599 is divided by 9? The remainder is 5 . To calculate this, first divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66.

How do you find the remainder when dividing by 10?

First, if a number is being divided by 10, then the remainder is just the last digit of that number. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder.

What is the remainder of 160 divided by 167 using long division?

Draw a line and subtract 160 from 167. Since 7 is less than 32 your long division is done. You have your answer: The quotient is 15 and the remainder is 7. For longer dividends, you would continue repeating the division and multiplication steps until you bring down every digit from the divdend and solve the problem.

What is 487 divided by 32 using the remainder?

You have your answer: The quotient is 15 and the remainder is 7. So, 487 ÷ 32 = 15 with a remainder of 7. For longer dividends, you would continue repeating the division and multiplication steps until you bring down every digit from the divdend and solve the problem.