What is the remainder when 41 is divided by 7?

7*6 = 42. If 43 is divided by 7 then remainder is 1. If 42 is divided by 7 then remainder is 0. If 41 is divided by 7 then remainder is -1 ( 7–1 = 6 ).

What is the remainder when 41 65 is divided by 7?

When 2^50 and 41^65 are divided by 7 the remainders are 4 & 6 respectively. When 2^50 and 41^65 are divided by 7 the remainders are 4 & 6 respectively. As 7 is a prime, by Fermat’s little Theorem, 2^7 is congruent to 2(mod 7). Hence 2^50 =[{(2^7)^7}×2] is congruent to (2^7)×2 which in turn congruent to 2×2 = 4(mod 7).

What is the remainder when 7 is divided by 3?

7 divided by 3 is 2 with a remainder of 1.

What is the remainder when 48 to the power 37 is divided by 7?

So the required remainder is 6. So the required remainder is 6.

What is the remainder of 41 divided by 3?

Using a calculator, if you typed in 41 divided by 3, you’d get 13.6667. You could also express 41/3 as a mixed fraction: 13 2/3.

How do you solve 41 divided by 2?

The result of division of 41÷2 41 ÷ 2 is 20 with a remainder of 1 .

How do you find the remainder using congruence?

A simple consequence is this: Any number is congruent mod n to its remainder when divided by n. For if a = nq + r, the above result shows that a ≡ r mod n. Thus for example, 23 ≡ 2 mod 7 and 103 ≡ 3 mod 10. For this reason, the remainder of a number a when divided by n is called a mod n.

What is the remainder when the sum 1 5 2 5?

So the remainder is 0. You can do it even without knowledge of congruences, we have that 15+25+… +n5=(n(n+1))2(2n2+2n−1)12, now set n=100 to get 15+25+…

What is the value of 42 Divide 7?

Using a calculator, if you typed in 42 divided by 7, you’d get 6.

What fraction is 7 divided by 3?

7/3
Answer: 7 divided by 3 as an improper fraction is 7/3 or in mixed fraction form 2⅓.

What is the remainder of 341 + 741 when divided by 13?

Find the remainder of 3 41 + 7 41 when divided by 13. My approach is by utilizing the cyclicity of remainders for examples 3 1, 3 2, 3 3, 3 4, 3 5 and 3 6 when divided 13 gives 3, 9, 1, 3, and 9 respectively,so we can see that the cycle repeats after 3 steps.Hence the remainder of 3 41 when divided by 13 will be same as 3 2 i.e 9

How do you find the remainder of 24 divided by 7?

How do I calculate the remainder of 24 divided by 7? Subtract 7 from 24 repeatedly until the result is less than 7. 24 minus 3 times 7 is 3. The number that is left, 3, is the remainder.

What is the remainder of long division if 7 is 15?

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.