What is the remainder when 13/18 is divided by 19?

Example 2: What is the remainder when 1318 is divided by 19? (The Euler number of a prime number is always 1 less than the number). As 13 and 19 are co-prime to each other, the remainder will be 1.

What is Euler’s theorem for remainder?

What is Euler’s theorem? According to Euler’s theorem, any number N raised to the power E(D) will leave a remainder of 1 when it is divided by D, provided D and N are co-primes. Mathematically, N^[E(D)] when divided by D will leave a remainder of 1 if N and D are co-primes.

How do you find the remainder of an exponential number?

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

What is the remainder when 19 is divided by 18?

Therefore remainder is -1 for 18!/19.

How do you calculate Euler’s theorem?

It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges. A cube, for example, has 6 faces, 8 vertices, and 12 edges and satisfies this formula.

What is the remainder when 18 is divided by 5?

Using a calculator, if you typed in 18 divided by 5, you’d get 3.6. You could also express 18/5 as a mixed fraction: 3 3/5. If you look at the mixed fraction 3 3/5, you’ll see that the numerator is the same as the remainder (3), the denominator is our original divisor (5), and the whole number is our final answer (3).

How do you solve 90 divided by 18?

Using a calculator, if you typed in 90 divided by 18, you’d get 5. You could also express 90/18 as a mixed fraction: 5 0/18.

What is the Euler number system to find remainder?

Number System – Euler’s theorem to find Remainder. The Euler number of a number x means the number of natural numbers which are less than x and are co-prime to x. E.g. the Euler number of 6 will be 2 as the natural numbers 1 & 5 are the only two numbers which are less than 6 and are also co-prime to 6. Mathematically,…

How do you find the Euler number of 19?

Solution: If y E (z) is divided by z, the remainder will always be 1; if y, z are co-prime In this case the Euler number of 19 is 18 (The Euler number of a prime number is always 1 less than the number). As 13 and 19 are co-prime to each other, the remainder will be 1.

What is the remainder of the remainder theorem?

Remainder Theorem Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P (x) by a factor (x – a); that isn’t essentially an element of the polynomial; you will find a smaller polynomial along with a remainder.

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.