Question

If the 8-digit number 136x5785
is divisible by 15,then find the
least possible value of x.​

Answer 1

Step-by-step explanation:

15 = 3 x 5 (Prime Factorization), for the no. to be divisible by 15 it must be divisible by 3 and 5.

To be divisible by 3, sum of the numbers must be divisible by 3. (Divisibility rule of 3)

To be divisible by 5 last digit must be 0 or 5. (Divisibility rule of 5)

Therefor, 136x5785 is divisible by 5 regardless of the values of x.

For 136x5786 to be divisible by 3, 1 + 3 + 6 + x + 5 + 7 + 8 + 5 must be divisible by 3

=> 35 + x must be divisible by 3

x = 1 satisfies the condition

Least value of x = 1

Regards

Garima Kataria

B.T.S A.R.M.Y