Question

Find the remainder of 3^20 is divided by 7

Answer 1

Answer:

2

Step-by-step explanation:

If we divide 3^20 by 7 we get 498112057.3

Again 7*498112057 = 3486784399

So, the remainder is 3486784401 - 3486784399 = 2

The answer is 2.

Answer 2

Given:

Divisor = 7

Dividend=

${3}^{20}$

To Find:

Remainder

Solution:

First let us find the value of

${3}^{20}$

${3}^{20 = } 3486784401$

Now,

When we dividend the dividend by the divisor the equation is

${3}^{20} \div 7 = 98,112,057.3$

since the nearest whole number from the above is 98112057, we multiply our divisor (7) with it to find our value which would be fully divisible by it.

$7 \times 98112057 = 3486784399$

Since 3486784399 is the nearest value to 3486784401 which is divisible by 7 we subtract them and the answer would be our remainder for 3^20 ÷ 7

$3486784401 - 3486784399 = 2$

Therefore the remainder is 2.