Divisibility Test: Is 987 a Multiple of 9?

Question

Is the number below divisible by 9?

987 987

Video Solution

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