What is the remainder when 2 Power 2005 divided by 7?

What is the remainder when 2 Power 2005 divided by 7?

The last digit is 7 so you need to look for the power cycle of 7. so, unit digit repeats in every 5th iteration, hence power cycle of 7 is 4. now divide the power by 4. 754\%4 gives 2 as remainder.

What is the remainder of 2 2006 divided by 7?

2 2006 = 8 668 * 4. Now, 8 668 gives the remainder 1 when divided by 7 as we have seen in the previous problem. And 4 gives a remainder of 4 only when divided by 7. Hence the remainder when 2 2006 is divided by 7 is the remainder when the product 1 * 4 is divided by 7.

What is the remainder when 2 202 divided by 7?

2^2 (which equals 4) divided by 7 leaves remainder 4.

How do you find the remainder of 7?

(12345 \% 7) = (5*1 + 4*3 + 3*2 + 2*(-1) + 1*(-3)) \% 7 = (5 + 12 + 6 – 2 – 3)\%7 = (18) \% 7 = 4 hence 4 will be the remainder when we divide the number 12345 by 7.

What is the remainder when 1281000 is divided by 153?

52
Hence, 52 is the required remainder of 1281000÷153.

What is the remainder when 2 to the power 2003 divided by 17?

8
Hence the remainder obtained if we divide \[{{2}^{2003}}\] by 17 we will get the remainder as 8.

What is the remainder when 2 2004 is divided by 7?

2 2004 = 8 668 = 8 * 8 * 8… (668 times). The remainder when 8 is divided by 7 is 1.

What is the remainder when 128 100 divided by 153?

Hence, 52 is the required remainder of 1281000÷153. Q3.

What is the remainder when 128 mm is divided by 153?

52 is the remainder . Originally Answered: What is the remainder when 128^1000 is divided by 153?

What is the remainder when 2 2006 is divided by 7?

Now, 8 668 gives the remainder 1 when divided by 7 as we have seen in the previous problem. And 4 gives a remainder of 4 only when divided by 7. Hence the remainder when 2 2006 is divided by 7 is the remainder when the product 1 * 4 is divided by 7.

What is the remainder when 8 668 is divided by 7?

The remainder when 8 is divided by 7 is 1. Hence the remainder when 8 668 is divided by 7 is the remainder obtained when the product 1 * 1 * 1… is divided by 7

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 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.