How do you find the remainder of a number with power?

Wilson’s Theorem

1. When (P-1)! is divided by P, the remainder is (P-1), where P must be a prime number.
2. When (P-2)! is divided by P, the remainder is 1, where P must be a prime number.

Which items have remainder?

Something left over after other parts have been taken away. The definition of remainder is leftover. An example of remainder used as an adjective is in the phrase “remainder items from the sale,” which means leftover items from the sale.

What is the remainder when 16937 30 divided by 31?

For a prime p, phi (p) = p-1. By Euler’s theorem, 16937^[phi (31)] mod 31 = 1. So, 16937^30 mod 31 = 1.

What is remainder calculator and how to use it?

Remainder Calculator is a free online tool that displays the remainder of the division process. BYJU’S online remainder calculator tool makes the calculation faster, and it displays the remainder in a fraction of seconds. How to Use the Remainder Calculator? The procedure to use the remainder calculator is as follows:

What is the remainder when 821 is divided by 4?

There are 3 ways of writing a remainder: with an R, as a fraction, and as a decimal. For example, 821 divided by 4 would be written as 205 R 1 in the first case, 205 1 / 4 in the second, and 205.25 in the third. What is the remainder when 26 is divided by 6?

How to find the remainder of a sum with a division?

Divide any simple number to find out the remainder of the sum with the Division Calculator. Was this Helpful? A Division forms when you divide a number (dividend) by another number (divisor) to get the result or ratio. With the Division Calculator you can carry out exact divisions or divisions with a remainder.

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.