Divisibility Test: Is 189 a Multiple of 9?

Is the number below divisible by 9?

189 189

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Step-by-step video solution

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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

Step-by-step written solution

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1

Understand the problem

Is the number below divisible by 9?

189 189

2

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

3

Final Answer

Yes

Practice Quiz

Test your knowledge with interactive questions

Determine if the following number is divisible by 3:

\( 352 \)

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