Write a 4 digit number that is divisible by both 5 and 9.


Sagot :

1,800 is a four digit number that is divisible by both 5 and 9. 

5 goes into 1,800:  360 times.
9 goes into 1,800:  200 times. 

Answer: 3105 is a four digit number which is divisible by both 5 and 9.

Explanation:

Divisibility of 5 : For the number to be divisible by '5' there should be either '5' or '0' number in the last digit of that number. For example : 15, 225, 7890, will be divisible by '5'.

Divisibility of 9 :For the number to be divisible by '9', sum of all digit coming in a number should be divisible by '9'. For example : 801, 7002, 1116 will be divisible by '9'.

So, the four digit numbers that are divisible by both 5 and 9 must have '5' or '0' in end and the sum of all the digits should be divisible by '9'

The number 3105 will be divisible by '5' because there is number '5' in the last digit of this number.

The number 3105 will be divisible by '9' because sum of all digits of this number is equal 9 (3+1+0+5), number 9 is divisible by '9'.

So, 3105 is a four digit number which is divisible by both 5 and 9