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

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

Baholash

$$605404800$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2\times 2\times 2\times 2\times 3\times 3 ni qisqartiring.

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

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

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

18 hosil qilish uchun 6 va 3 ni ko'paytirish.

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

72 hosil qilish uchun 18 va 4 ni ko'paytirish.

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

360 hosil qilish uchun 72 va 5 ni ko'paytirish.

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

1800 hosil qilish uchun 360 va 5 ni ko'paytirish.

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

10800 hosil qilish uchun 1800 va 6 ni ko'paytirish.

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

75600 hosil qilish uchun 10800 va 7 ni ko'paytirish.

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

529200 hosil qilish uchun 75600 va 7 ni ko'paytirish.

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

4233600 hosil qilish uchun 529200 va 8 ni ko'paytirish.

$$4233600\times 11\times 13$$

46569600 hosil qilish uchun 4233600 va 11 ni ko'paytirish.

$$46569600\times 13$$

605404800 hosil qilish uchun 46569600 va 13 ni ko'paytirish.

$$605404800$$

Omil

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