Solve 40!/34!*6!

$$\frac { 40 ! } { 34 ! \times 6 ! }$$

Evaluate

$$3838380$$

Solution Steps

The factorial of 40 is 815915283247897734345611269596115894272000000000.

$$\frac{815915283247897734345611269596115894272000000000}{34!\times 6!}$$

The factorial of 34 is 295232799039604140847618609643520000000.

$$\frac{815915283247897734345611269596115894272000000000}{295232799039604140847618609643520000000\times 6!}$$

The factorial of 6 is 720.

$$\frac{815915283247897734345611269596115894272000000000}{295232799039604140847618609643520000000\times 720}$$

Multiply 295232799039604140847618609643520000000 and 720 to get 212567615308514981410285398943334400000000.

$$\frac{815915283247897734345611269596115894272000000000}{212567615308514981410285398943334400000000}$$

Divide 815915283247897734345611269596115894272000000000 by 212567615308514981410285398943334400000000 to get 3838380.

$$3838380$$

Factor

$$2^{2}\times 3\times 5\times 7\times 13\times 19\times 37$$