Last updated on May 26th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 89.
The divisibility rule for 89 is a method by which we can determine if a number is divisible by 89 without using the division method. Check whether 2673 is divisible by 89 with the divisibility rule.
Step 1: Multiply the last digit of the number by 9. Here in 2673, 3 is the last digit, so multiply it by 9. 3 × 9 = 27.
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 267–27 = 240.
Step 3: Repeat the process for the result from Step 2. Multiply the last digit (0) by 9. 0 × 9 = 0. Subtract from the remaining number: 24–0 = 24.
Step 4: Since 24 is not a multiple of 89, 2673 is not divisible by 89. If the result from the repeated process is a multiple of 89, then the number is divisible by 89.
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 89.
The divisibility rule of 89 helps us quickly check if a given number is divisible by 89, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Is 2678 divisible by 89?
No, 2678 is not divisible by 89.
To check if 2678 is divisible by 89, we can use the divisibility rule of 89.
1) Separate the number into the last digit and the remaining number: 8 and 267.
2) Multiply the last digit by 9: 8 × 9 = 72.
3) Subtract this product from the remaining number: 267 - 72 = 195.
4) Check if 195 is a multiple of 89. No, 195 is not a multiple of 89.
Check the divisibility rule of 89 for 890.
Yes, 890 is divisible by 89.
To verify the divisibility of 890 by 89:
1) Separate the number into the last digit and the remaining number: 0 and 89.
2) Multiply the last digit by 9: 0 × 9 = 0.
3) Subtract this product from the remaining number: 89 - 0 = 89.
4) Check if 89 is a multiple of 89. Yes, 89 is a multiple of 89 (89 × 1 = 89).
Is -3569 divisible by 89?
No, -3569 is not divisible by 89.
To check if -3569 is divisible by 89, remove the negative sign and follow the rule:
1) Separate the number into the last digit and the remaining number: 9 and 356.
2) Multiply the last digit by 9: 9 × 9 = 81.
3) Subtract this product from the remaining number: 356 - 81 = 275.
4) Check if 275 is a multiple of 89. No, 275 is not a multiple of 89.
Can 712 be divisible by 89 following the divisibility rule?
No, 712 is not divisible by 89.
To determine if 712 is divisible by 89:
1) Separate the number into the last digit and the remaining number: 2 and 71.
2) Multiply the last digit by 9: 2 × 9 = 18.
3) Subtract this product from the remaining number: 71 - 18 = 53.
4) Check if 53 is a multiple of 89. No, 53 is not a multiple of 89.
Check the divisibility rule of 89 for 8011.
Yes, 8011 is divisible by 89.
To check the divisibility of 8011 by 89:
1) Separate the number into the last digit and the remaining number: 1 and 801.
2) Multiply the last digit by 9: 1 × 9 = 9.
3) Subtract this product from the remaining number: 801 - 9 = 792.
4) Check if 792 is a multiple of 89. Yes, 792 is a multiple of 89 (89 × 8 = 712).
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.