Question

find the remainder of 3^30 divided by four

Answer 1

Final Answer:

The remainder of the number $3^{30}$ divided by the number four is one.

Given:

The number $3^{30}$  which is to be divided by the number $4$.

To Find:

The remainder of the number $3^{30}$ divided by the number $4$.

Explanation:

Whenever any number is not completely divisible by another number it leaves a remainder behind it.

Step 1 of 4

At first, divide the exponent 30 by 4 to get the following answer in the decimal format.

$30\div4=7.5$

Step 2 of 4

Next consider the Whole part (7) of the answer and ignore the decimal portion (.5).

Multiply 7 by the Divisor, which is nothing but 4. Thus, the calculation of the Whole part multiplied by the Divisor becomes the following.

$7\times 4=28$

Step 3 of 4

Finally, we will subtract the result 28 from the Dividend which  is nothing but 30. Thus, this following calculation is made.

$30 - 28 = 2$

Step 4 of 4

Thus the remainder of the number $3^{30}$ divided by the number $4$ is calculated in the following way.

$=2+(3-4)\\=2-1\\=1$

Therefore, the required remainder of the number $3^{30}$ divided by the number four is one.

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