Question

The number 52563768 is divisible by
which of the following numbers?
(1)22

(2) 24
(3) 44
(4)36​

Answer 1

Answer: by 24

52563768/24=2190157

Answer 2

The number 52563768 is divisible by the number 24.

Answer - (Option 2)

Solution:

The number 52563768 is divisible the following numbers

Option  (1) 22 : Number to be divisible  by 2 and 11

                              It is not divisible by 11.

Option (2) 24 : Prime factorization of 24 = 8 $\times$ 3  

                          Divisibility rule for 3 : sum of digits divisible by 3

                             Divisibility rule for 8 : last 3 digits divisible by 8

                      The given number obeys the divisibility rule of 8 and 3.

                       So, the number 52563768 is divisible by 24.

Option (3) 44 : Number to be divisible by 4 and 11

                                It is not divisible by 11.

Option (4) 36 : Prime factorization of 36 = 9 and 4.

                              Divisibility rule for 9 = sum of numbers is 9

                              Divisibility rule for 4 : last two digits divisible by 4

                     The given number doesn't obeys the divisibility rule of 9.

So, it is found that the given number 52563768 is divisible by the number 24.