Divisibility Test: Is 987 a Multiple of 9?

Question

Is the number below divisible by 9?

987 987

Video Solution

Solution Steps

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
00:18 The sum of digits is not divisible by 9, therefore the number is not divisible by 9
00:23 And this is the solution to the question

Step-by-Step Solution

To determine if 987 is divisible by 9, we use the divisibility rule that a number is divisible by 9 if the sum of its digits is also divisible by 9.

Let's follow these steps:

  • Step 1: Find the sum of the digits of 987.

We have the digits 9, 8, and 7. Therefore, their sum is:

9+8+7=24 9 + 8 + 7 = 24

  • Step 2: Check if the sum, 24, is divisible by 9.

We divide 24 by 9:

24÷92.67 24 \div 9 \approx 2.67

Since 24 does not evenly divide by 9 (it does not result in an integer), 24 is not divisible by 9.

Thus, since the sum of the digits (24) is not divisible by 9, the number 987 is not divisible by 9.

Therefore, the solution to the problem is No.

Answer

No