Divisibility Test: Is 189 a Multiple of 9?

Question

Is the number below divisible by 9?

189 189

Video Solution

Step-by-Step Solution

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

  • Step 1: Calculate the sum of the digits of 189.

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 1 + 8 + 9 = 18

  • Step 2: Check if the sum, 18, is divisible by 9.

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

Answer

Yes