What is the remainder when 17 to the power 23 divided by 16?

What is the remainder when 17 to the power 23 divided by 16?

So, we get remainder 1, for all the exponents we take for 17. Therefore, when 1723 is divided by 16, the remainder will be 1.

How do you find remainders?

Work the division in your calculator as normal. Once you have the answer in decimal form, subtract the whole number, then multiply the decimal value that’s left by the divisor of your original problem. The result is your remainder.

What is a remainder in division?

In mathematics, the remainder is the amount “left over” after performing some computation. In arithmetic, the remainder is the integer “left over” after dividing one integer by another to produce an integer quotient (integer division).

Why do we have remainders in division?

When one number cannot divide another number completely, it le get a remainder.

How do you solve 13 divided by 16?

Using a calculator, if you typed in 13 divided by 16, you’d get 0.8125. You could also express 13/16 as a mixed fraction: 0 13/16.

What is the remainder of 84 divided by 7?

Using a calculator, if you typed in 84 divided by 7, you’d get 12. You could also express 84/7 as a mixed fraction: 12 0/7. If you look at the mixed fraction 12 0/7, you’ll see that the numerator is the same as the remainder (0), the denominator is our original divisor (7), and the whole number is our final answer (12) …

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 when 5^73 is divided by 16?

21 is congruent to 5 (mod 16) so an equivalent question is “what is the remainder when 5^73 is divided by 16”. Because 5^4 = 625 which is 1 (mod 16), we can write 5^73 = ( (5^4)^18) * 5 and the first factor can be deleted because it is 1 (mod 16).

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.

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