Solve 1*2*3*4*5*6*7*8*9*8*7*6*5*4*3*2*1*2*3*4*5*6*7*8*9

$$1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9$$

Evaluate

$$5309413982208000$$

Solution Steps

Multiply 1 and 2 to get 2.

$$2\times 3\times 4\times 5\times 6\times 7\times 8\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 2 and 3 to get 6.

$$6\times 4\times 5\times 6\times 7\times 8\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 6 and 4 to get 24.

$$24\times 5\times 6\times 7\times 8\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 24 and 5 to get 120.

$$120\times 6\times 7\times 8\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 120 and 6 to get 720.

$$720\times 7\times 8\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 720 and 7 to get 5040.

$$5040\times 8\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 5040 and 8 to get 40320.

$$40320\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 40320 and 9 to get 362880.

$$362880\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 362880 and 8 to get 2903040.

$$2903040\times 7\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 2903040 and 7 to get 20321280.

$$20321280\times 6\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 20321280 and 6 to get 121927680.

$$121927680\times 5\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 121927680 and 5 to get 609638400.

$$609638400\times 4\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 609638400 and 4 to get 2438553600.

$$2438553600\times 3\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 2438553600 and 3 to get 7315660800.

$$7315660800\times 2\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 7315660800 and 2 to get 14631321600.

$$14631321600\times 1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 14631321600 and 1 to get 14631321600.

$$14631321600\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 14631321600 and 2 to get 29262643200.

$$29262643200\times 3\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 29262643200 and 3 to get 87787929600.

$$87787929600\times 4\times 5\times 6\times 7\times 8\times 9$$

Multiply 87787929600 and 4 to get 351151718400.

$$351151718400\times 5\times 6\times 7\times 8\times 9$$

Multiply 351151718400 and 5 to get 1755758592000.

$$1755758592000\times 6\times 7\times 8\times 9$$

Multiply 1755758592000 and 6 to get 10534551552000.

$$10534551552000\times 7\times 8\times 9$$

Multiply 10534551552000 and 7 to get 73741860864000.

$$73741860864000\times 8\times 9$$

Multiply 73741860864000 and 8 to get 589934886912000.

$$589934886912000\times 9$$

Multiply 589934886912000 and 9 to get 5309413982208000.

$$5309413982208000$$

Factor

$$2^{21}\times 3^{10}\times 5^{3}\times 7^{3}$$