What is the remainder when 99 is divided by 101?

What is the remainder when 99 is divided by 101?

As 99 = 101–2, we need to find the remainder when (101–2)^99 is divided by 101. So, any remainder after division by 101 can only come from the last term of this expansion, namely ‘-8’.

What number is divided 101?

To find the factors of 101, we have to list out the numbers that can evenly divide 101. Hence, there are only two such numbers available to us, they are 1 and 101. So, the factors are 1 and 101 for the whole number 101.

How do you find the remainder when dividing by 100?

Therefore, when we divide by 100, the two digits in the ONES and the TENS place form the remainder while the remaining digits form the quotient. 4. Following this method, when we divide by 1000, the remainder will have 3 digits.

What is the remainder when 4 101 divided by 101?

Therefore 4^101 will have a remainder 4 when divided by 101.

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 67 is divided by 71?

Originally Answered: What’s the remainder of (67 !) divided by 71? as is a prime number. Therefore, the remainder is 12.

How do you divide 100s?

To divide by 100, move each digit two place value columns to the right. If the number ends in two ‘0’ digits in the tens and units columns, dividing by 100 has the same effect as removing these digits. To divide by 100, move all digits two place value columns to the right.

What is the remainder if 7/10 is divided by 100?

What is the remainder, after division by 100, of 7^10? The remainder when 7^10 is divided by 100 will be the last two digits of 7^10 (for example 123 divided by 100 yields the remainder of 23, 345 divided by 100 yields the remainder of 45).

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

Edited version : 74 is the remainder.

What is the remainder when hundred factorial is divided by 97 square?

The remainder of 100! divided by 972 is equivalent to 100!97mod97.