Solve 16!/8!*2!*2!*2!

$$\frac{ 16 ! }{ 8 ! \times 2 ! \times 2 ! \times 2 ! }$$

Evaluate

$$64864800$$

Solution Steps

Multiply 2! and 2! to get \left(2!\right)^{2}.

$$\frac{16!}{8!\times \left(2!\right)^{2}\times 2!}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{16!}{8!\times \left(2!\right)^{3}}$$

The factorial of 16 is 20922789888000.

$$\frac{20922789888000}{8!\times \left(2!\right)^{3}}$$

The factorial of 8 is 40320.

$$\frac{20922789888000}{40320\times \left(2!\right)^{3}}$$

The factorial of 2 is 2.

$$\frac{20922789888000}{40320\times 2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{20922789888000}{40320\times 8}$$

Multiply 40320 and 8 to get 322560.

$$\frac{20922789888000}{322560}$$

Divide 20922789888000 by 322560 to get 64864800.

$$64864800$$

Factor

$$2^{5}\times 3^{4}\times 5^{2}\times 7\times 11\times 13$$