Solve 1*2*3*4*5*6*7*8*9*10*11*12*13*14*15*16*17*18*19=

$$1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10 \times 11 \times 12 \times 13 \times 14 \times 15 \times 16 \times 17 \times 18 \times 19=$$

Evaluate

$$121645100408832000$$

Solution Steps

Multiply 1 and 2 to get 2.

$$2\times 3\times 4\times 5\times 6\times 7\times 8\times 9\times 10\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 2 and 3 to get 6.

$$6\times 4\times 5\times 6\times 7\times 8\times 9\times 10\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 6 and 4 to get 24.

$$24\times 5\times 6\times 7\times 8\times 9\times 10\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 24 and 5 to get 120.

$$120\times 6\times 7\times 8\times 9\times 10\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 120 and 6 to get 720.

$$720\times 7\times 8\times 9\times 10\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 720 and 7 to get 5040.

$$5040\times 8\times 9\times 10\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 5040 and 8 to get 40320.

$$40320\times 9\times 10\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 40320 and 9 to get 362880.

$$362880\times 10\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 362880 and 10 to get 3628800.

$$3628800\times 11\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 3628800 and 11 to get 39916800.

$$39916800\times 12\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 39916800 and 12 to get 479001600.

$$479001600\times 13\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 479001600 and 13 to get 6227020800.

$$6227020800\times 14\times 15\times 16\times 17\times 18\times 19$$

Multiply 6227020800 and 14 to get 87178291200.

$$87178291200\times 15\times 16\times 17\times 18\times 19$$

Multiply 87178291200 and 15 to get 1307674368000.

$$1307674368000\times 16\times 17\times 18\times 19$$

Multiply 1307674368000 and 16 to get 20922789888000.

$$20922789888000\times 17\times 18\times 19$$

Multiply 20922789888000 and 17 to get 355687428096000.

$$355687428096000\times 18\times 19$$

Multiply 355687428096000 and 18 to get 6402373705728000.

$$6402373705728000\times 19$$

Multiply 6402373705728000 and 19 to get 121645100408832000.

$$121645100408832000$$

Factor

$$2^{16}\times 3^{8}\times 5^{3}\times 7^{2}\times 11\times 13\times 17\times 19$$