Solve 41664-8!/5!3!*16

$$41664 - \frac { 8 ! } { 5 ! 3 ! } \cdot 16$$

Evaluate

$$40768$$

Solution Steps

The factorial of 8 is 40320.

$$41664-\frac{40320}{5!\times 3!}\times 16$$

The factorial of 5 is 120.

$$41664-\frac{40320}{120\times 3!}\times 16$$

The factorial of 3 is 6.

$$41664-\frac{40320}{120\times 6}\times 16$$

Multiply 120 and 6 to get 720.

$$41664-\frac{40320}{720}\times 16$$

Divide 40320 by 720 to get 56.

$$41664-56\times 16$$

Multiply 56 and 16 to get 896.

$$41664-896$$

Subtract 896 from 41664 to get 40768.

$$40768$$

Factor

$$2^{6}\times 7^{2}\times 13$$