Whakaoti i te 10!div5!div5!*20!div5!div15!

$$10 ! \div 5 ! \div 5 ! \times 20 ! \div 5 ! \div 15 !$$

Aromātai

$$3907008$$

Ngā Upane Otinga

Ko te huarea o 10 ko 3628800.

$$\frac{\frac{\frac{\frac{3628800}{5!}}{5!}\times 20!}{5!}}{15!}$$

Ko te huarea o 5 ko 120.

$$\frac{\frac{\frac{\frac{3628800}{120}}{5!}\times 20!}{5!}}{15!}$$

Whakawehea te 3628800 ki te 120, kia riro ko 30240.

$$\frac{\frac{\frac{30240}{5!}\times 20!}{5!}}{15!}$$

Ko te huarea o 5 ko 120.

$$\frac{\frac{\frac{30240}{120}\times 20!}{5!}}{15!}$$

Whakawehea te 30240 ki te 120, kia riro ko 252.

$$\frac{\frac{252\times 20!}{5!}}{15!}$$

Ko te huarea o 20 ko 2432902008176640000.

$$\frac{\frac{252\times 2432902008176640000}{5!}}{15!}$$

Whakareatia te 252 ki te 2432902008176640000, ka 613091306060513280000.

$$\frac{\frac{613091306060513280000}{5!}}{15!}$$

Ko te huarea o 5 ko 120.

$$\frac{\frac{613091306060513280000}{120}}{15!}$$

Whakawehea te 613091306060513280000 ki te 120, kia riro ko 5109094217170944000.

$$\frac{5109094217170944000}{15!}$$

Ko te huarea o 15 ko 1307674368000.

$$\frac{5109094217170944000}{1307674368000}$$

Whakawehea te 5109094217170944000 ki te 1307674368000, kia riro ko 3907008.

$$3907008$$

Tauwehe

$$2^{6}\times 3^{3}\times 7\times 17\times 19$$