Question

prove that 10!= 3628800​

Answer 1

Answer:

So for 362880,

Sum of digits at odd place = 3+2+8+0 = 13

Sum of digits at even place = 6+8+0 = 14

Difference = 14–13 = 1 which is not divisible by 11,

Hence the number is not divisible by 11.

Answer 2

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Factorial is a basic mathematic function often represented by n! in mathematics, represents the product of all integers less than or equal to the positive integer n. An important function frequently used in combinatorics (permutations & combinations) theory.

For example, 10! can be written as

10! = 1 x 2 x 3 x . . . . x 9 x 10

10! = 3628800