True or false: The product of any `r` consecutive natural numbers is always divisible by `r!`

The product of n consecutive natural numbers is always divisible by

The product of three consecutive natural number is always divisible by

Statement-151xx52xx53xx54xx55xx56xx57xx58 is divisible by 40320 Statement-2: The product of r consecutive natural numbers is always divisible by r!

The product of any three consecutive natural numbers is divisible by 6 (True/false).

The product of four consecutive natural numbers plus one is