Question

Give a written explanation for how to find the quotient of the following problem using multiples to divide: 2^600 divided by 13.

a) To find the quotient, divide 600 by 13.
b) Divide 600 by 2, then divide the result by 13.
c) Use multiples of 13 to subtract from 600 until reaching 0 to find the quotient.
d) Multiply 2 by itself 600 times to find the quotient.

Answer 1

To find the quotient of 2^600 divided by 13 using multiples, we can use the long division method. The quotient is 461 with a remainder of 11.

Step-by-step explanation:

To find the quotient of 2^600 divided by 13 using multiples, we can use the long division method. Here is how:

1. We start by dividing the first digit of 2^600 (which is 2) by 13. Since 2 divided by 13 gives us a decimal, we carry down the next digit, which is 0.
2. We now have 20 as our new number. We divide 20 by 13, which gives us a quotient of 1 and a remainder of 7. We carry down the next digit, which is 0, and add it to the remainder, resulting in 70.
3. We divide 70 by 13, which gives us a quotient of 5 and a remainder of 5. We carry down the next digit, which is 0, and add it to the remainder, resulting in 50.
4. We divide 50 by 13, which gives us a quotient of 3 and a remainder of 11. We carry down the next digit, which is 0, and add it to the remainder, resulting in 110.
5. We continue this process until we reach the end of the number, which gives us a quotient of 461 and a remainder of 11.

Therefore, the quotient of 2^600 divided by 13 using multiples is 461 with a remainder of 11.