Question

If '23576x' is divisible by 36,then x=

Answer 1

Answer:

4

Step-by-step explanation:

If a number is divisible by 36 then the number should be divisible by 6 also.

Here,

23576x is divisible by 6.

x should be even number.

If you put 4 in place of x then the number will be divisible by 36.

Answer 2

Concept:

A divisibility rule is a quick and easy approach to see if an integer is divisible by a defined divisor without having to divide it, generally by looking at its digits.

Given:

The number 23576x.

Find:

The digit x, so that number is divisible by 36.

Solution:

The divisibility factor for 36 is the number should be divisible by 6.

The divisibility rule for 6 is the number should be divisible by 2 and 3.

The divisibility rule for 2 is the ones digit should be even in order to be divisible by 2.

The divisibility rule for 3 is the sum of the digits of the number should be divisible by 3.

Considering the divisibility of 2, the x should be 0,2,4,6 and 8.

Considering the divisibility of 3,

2+3+5+7+6+x = 23+x.

The possibility of the value of x from 0,2,4,6,8 is the number 4.

Hence, the value of x is 4.