Divisibility Test: Is 189 a Multiple of 9?

Question

Is the number below divisible by 9?

$189$

00:00 Determine if the number is divisible by 9

00:03 A number is divisible by 9 only if the sum of its digits is divisible by 9

00:07 Let's sum its digits and divide by 9

00:11 The sum of digits is divisible by 9, therefore the number is divisible by 9

00:15 And this is the solution to the question

To determine if 189 is divisible by 9, we apply the divisibility rule for 9:

The number 189 can be broken down into its digits: 1, 8, and 9. We find the sum of these digits:

$1 + 8 + 9 = 18$

We know that 18 divided by 9 equals 2, which is a whole number, meaning 18 is divisible by 9.

Since the sum of the digits (18) is divisible by 9, it follows that 189 itself is divisible by 9.

Therefore, the number 189 is divisible by 9.

Final Answer: Yes

Yes