다음을 풀어보세요: (101)!/50!*51!

$$\frac { ( 101 ) ! } { 50 ! \cdot 51 ! }$$

계산

$$199804427433372226016001220056$$

해답 단계

101의 계승은 9425947759838359420851623124482936749562312794702543768327889353416977599316221476503087861591808346911623490003549599583369706302603264000000000000000000000000입니다.

$$\frac{9425947759838359420851623124482936749562312794702543768327889353416977599316221476503087861591808346911623490003549599583369706302603264000000000000000000000000}{50!\times 51!}$$

50의 계승은 30414093201713378043612608166064768844377641568960512000000000000입니다.

$$\frac{9425947759838359420851623124482936749562312794702543768327889353416977599316221476503087861591808346911623490003549599583369706302603264000000000000000000000000}{30414093201713378043612608166064768844377641568960512000000000000\times 51!}$$

51의 계승은 1551118753287382280224243016469303211063259720016986112000000000000입니다.

$$\frac{9425947759838359420851623124482936749562312794702543768327889353416977599316221476503087861591808346911623490003549599583369706302603264000000000000000000000000}{30414093201713378043612608166064768844377641568960512000000000000\times 1551118753287382280224243016469303211063259720016986112000000000000}$$

30414093201713378043612608166064768844377641568960512000000000000과(와) 1551118753287382280224243016469303211063259720016986112000000000000을(를) 곱하여 47175870329407903869687006885030067799823827178517001373013102821959339106585382156561543870162858980409344000000000000000000000000(을)를 구합니다.

$$\frac{9425947759838359420851623124482936749562312794702543768327889353416977599316221476503087861591808346911623490003549599583369706302603264000000000000000000000000}{47175870329407903869687006885030067799823827178517001373013102821959339106585382156561543870162858980409344000000000000000000000000}$$

9425947759838359420851623124482936749562312794702543768327889353416977599316221476503087861591808346911623490003549599583369706302603264000000000000000000000000을(를) 47175870329407903869687006885030067799823827178517001373013102821959339106585382156561543870162858980409344000000000000000000000000(으)로 나눠서 199804427433372226016001220056을(를) 구합니다.

$$199804427433372226016001220056$$

인수 분해

$$2^{3}\times 3^{3}\times 11\times 13\times 19\times 29\times 31\times 53\times 59\times 61\times 67\times 71\times 73\times 79\times 83\times 89\times 97\times 101$$