Lutasin ang 14*13*12*11*10*9*8*7*6*5*4*3*2*1/3*1*2*1*2*12*1=

$$\frac { 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } { 3 \cdot 1 \cdot 2 \cdot 1 \cdot 2 \cdot 12 \cdot 1 } =$$

I-evaluate

$$605404800$$

Mga Hakbang ng Solution

I-cancel out ang 2\times 2\times 2\times 2\times 3\times 3 sa parehong numerator at denominator.

$$2\times 3\times 3\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

I-multiply ang 2 at 3 para makuha ang 6.

$$6\times 3\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

I-multiply ang 6 at 3 para makuha ang 18.

$$18\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

I-multiply ang 18 at 4 para makuha ang 72.

$$72\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

I-multiply ang 72 at 5 para makuha ang 360.

$$360\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

I-multiply ang 360 at 5 para makuha ang 1800.

$$1800\times 6\times 7\times 7\times 8\times 11\times 13$$

I-multiply ang 1800 at 6 para makuha ang 10800.

$$10800\times 7\times 7\times 8\times 11\times 13$$

I-multiply ang 10800 at 7 para makuha ang 75600.

$$75600\times 7\times 8\times 11\times 13$$

I-multiply ang 75600 at 7 para makuha ang 529200.

$$529200\times 8\times 11\times 13$$

I-multiply ang 529200 at 8 para makuha ang 4233600.

$$4233600\times 11\times 13$$

I-multiply ang 4233600 at 11 para makuha ang 46569600.

$$46569600\times 13$$

I-multiply ang 46569600 at 13 para makuha ang 605404800.

$$605404800$$

I-factor

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