Rezolvați 100!*100

$$100 ! \times 100$$

Evaluați

$$9332621544394415268169923885626670049071596826438162146859296389521759999322991560894146397615651828625369792082722375825118521091686400000000000000000000000000$$

Pașii soluției

Factorialul lui 100 este 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000.

$$93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000\times 100$$

Înmulțiți 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000 cu 100 pentru a obține 9332621544394415268169923885626670049071596826438162146859296389521759999322991560894146397615651828625369792082722375825118521091686400000000000000000000000000.

$$9332621544394415268169923885626670049071596826438162146859296389521759999322991560894146397615651828625369792082722375825118521091686400000000000000000000000000$$

Descompunere în factori

$$2^{99}\times 3^{48}\times 5^{26}\times 7^{16}\times 11^{9}\times 13^{7}\times 17^{5}\times 19^{5}\times 23^{4}\times 29^{3}\times 31^{3}\times 37^{2}\times 41^{2}\times 43^{2}\times 47^{2}\times 53\times 59\times 61\times 67\times 71\times 73\times 79\times 83\times 89\times 97$$