Solve 2^88*502bmod101

$$2 ^ { 88 } \times 502 \bmod 101$$

Evaluate

$$27$$

Solution Steps

Calculate 2 to the power of 88 and get 309485009821345068724781056.

$$309485009821345068724781056\times 502\text{bmod}101$$

Multiply 309485009821345068724781056 and 502 to get 155361474930315224499840090112.

$$155361474930315224499840090112\text{bmod}101$$

Divide 155361474930315224499840090112 by 101 to get the remainder 27.

$$27$$

Factor

$$3^{3}$$