Solve 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3-1

$$3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3-1$$

Evaluate

$$43046720$$

Solution Steps

Multiply 3 and 3 to get 9.

$$9\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 9 and 3 to get 27.

$$27\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 27 and 3 to get 81.

$$81\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 81 and 3 to get 243.

$$243\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 243 and 3 to get 729.

$$729\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 729 and 3 to get 2187.

$$2187\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 2187 and 3 to get 6561.

$$6561\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 6561 and 3 to get 19683.

$$19683\times 3\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 19683 and 3 to get 59049.

$$59049\times 3\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 59049 and 3 to get 177147.

$$177147\times 3\times 3\times 3\times 3\times 3-1$$

Multiply 177147 and 3 to get 531441.

$$531441\times 3\times 3\times 3\times 3-1$$

Multiply 531441 and 3 to get 1594323.

$$1594323\times 3\times 3\times 3-1$$

Multiply 1594323 and 3 to get 4782969.

$$4782969\times 3\times 3-1$$

Multiply 4782969 and 3 to get 14348907.

$$14348907\times 3-1$$

Multiply 14348907 and 3 to get 43046721.

$$43046721-1$$

Subtract 1 from 43046721 to get 43046720.

$$43046720$$

Factor

$$2^{6}\times 5\times 17\times 41\times 193$$