100!/90! పరిష్కరించండి

$$\frac { 100 ! } { 90 ! }$$

మూల్యాంకనం చేయండి

$$62815650955529472000$$

పరిష్కారం దశలు

100 యొక్క క్రమ గణితము 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000.

$$\frac{93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000}{90!}$$

90 యొక్క క్రమ గణితము 1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000.

$$\frac{93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000}{1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000}$$

93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000ని 1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000తో భాగించి 62815650955529472000ని పొందండి.

$$62815650955529472000$$

లబ్ధమూలము

$$2^{11}\times 3^{4}\times 5^{3}\times 7^{3}\times 11\times 13\times 19\times 23\times 31\times 47\times 97$$