Table Of Contents
669 LearnersLast updated on February 15th, 2025
Divisibility Rule of 93
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 93.
What is the Divisibility Rule of 93?
The divisibility rule for 93 is a method by which we can find out if a number is divisible by 93 or not without using the division method. Check whether 3729 is divisible by 93 with the divisibility rule.
Step 1: Multiply the last digit of the number by 10. Here in 3729, 9 is the last digit, so multiply it by 10. 9 × 10 = 90.
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 372–90 = 282.
Step 3: As it is shown that 282 is not a multiple of 93, repeat the process for 282. Multiply the last digit by 10, 2 × 10 = 20.
Step 4: Subtract 20 from the remaining number, 28–20 = 8.
Step 5: Since 8 is not a multiple of 93, 3729 is not divisible by 93.
Tips and Tricks for Divisibility Rule of 93
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 93.
- Know the multiples of 93: Memorize the multiples of 93 (93, 186, 279, 372, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 93, then the number is divisible by 93.
- Use the negative numbers: If the result we get after subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 93.
For example, check if 5589 is divisible by 93 using the divisibility test. Multiply the last digit by 10, i.e., 9 × 10 = 90. Subtract the remaining digits excluding the last digit by 90, 558–90 = 468. Repeat the process: 8 × 10 = 80, 46–80 = -34. Since -34 is not a multiple of 93, 5589 is not divisible by 93.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 93
The divisibility rule of 93 helps us to quickly check if the given number is divisible by 93, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, multiplying the last digit by 10 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 93.
Divisibility Rule of 93 Examples
Problem 1
Is 1860 divisible by 93?
Yes, 1860 is divisible by 93.
Explanation
To check if 1860 is divisible by 93, let's use a hypothetical divisibility rule.
1) Double the last digit of the number, 0 × 2 = 0.
2) Subtract this result from the remaining digits, 186 - 0 = 186.
3) Check if 186 is divisible by 93. Yes, 186 divided by 93 equals 2.
Problem 2
Check the divisibility rule of 93 for 279.
Yes, 279 is divisible by 93.
Explanation
To verify divisibility by 93,
1) Double the last digit, 9 × 2 = 18.
2) Subtract this from the rest of the number, 27 - 18 = 9.
3) Check if the result is divisible by 93. In this case, recognize that the subtraction method confirms the original number's divisibility since 279 = 93 × 3.
Problem 3
Is 651 divisible by 93?
No, 651 is not divisible by 93.
Explanation
Using our divisibility test,
1) Double the last digit, 1 × 2 = 2.
2) Subtract this from the remaining digits, 65 - 2 = 63.
3) Check if 63 is divisible by 93. No, it is not, indicating 651 is not divisible by 93.
Problem 4
Can 837 be divisible by 93 following the divisibility rule?
Yes, 837 is divisible by 93.
Explanation
To determine this,
1) Double the last digit, 7 × 2 = 14.
2) Subtract from the rest of the number, 83 - 14 = 69.
3) Check if 69 is divisible by 93. Recognize that 837 = 93 × 9, confirming its divisibility.
Problem 5
Check the divisibility rule of 93 for 1023.
No, 1023 is not divisible by 93.
Explanation
Applying our divisibility test,
1) Double the last digit, 3 × 2 = 6.
2) Subtract from the remaining digits, 102 - 6 = 96.
3) Check if 96 is divisible by 93. No, 96 is not divisible by 93, so 1023 is not divisible by 93.
FAQs on Divisibility Rule of 93
1.What is the divisibility rule for 93?
2.How many numbers are there between 1 and 1000 that are divisible by 93?
3.Is 186 divisible by 93?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 93 apply to all integers?
Important Glossaries for Divisibility Rule of 93
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 93 if the steps result in a multiple of 93.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 93 are 93, 186, 279, 372, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of a result, often by using an alternative method such as direct division.
Explore More numbers
Previous to Divisibility Rule of 93
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
