Question

16. The product of 7 consecutive natural numbers is
always divisible by

Answer 1

Answer:

SOLUTION:

We know that a number is divisible by 6, if the number is divisible by both 2 and 3

example 1: let the three consecutive numbers be 7,8 and 9.

product of numbers

7\times8\times9=5047×8×9=504

units digit of the number = 4, so it is divisible by 2.

now sum of the digit = 5+0+4=9 which is a multiple of 3.

so, 504 is divisible by both 2 and 3 so 504 is divisible by 6.

hence verified.