212 LearnersLast updated on May 26th, 2025
Divisibility Rule of 253
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 253.
What is the Divisibility Rule of 253?
The divisibility rule for 253 is a method by which we can find out if a number is divisible by 253 or not without using the division method. Check whether 1518 is divisible by 253 with the divisibility rule.
Step 1: Multiply the last two digits of the number by a specific number (in this case, multiply by 4), here in 1518, 18 is the last two digits. Multiply it by 4. 18 × 4 = 72
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last two digits. i.e., 15 - 72 = -57.
Step 3: As the result from Step 2 is not zero, and not a multiple of 253, the number is not divisible by 253. If the result from step 2 is zero or a multiple of 253, then the number is divisible by 253.
Tips and Tricks for Divisibility Rule of 253
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 253.
- Know the multiples of 253: Memorize the multiples of 253 (253, 506, 759, etc.) to quickly check divisibility. If the result from the subtraction is zero or a multiple of 253, then the number is divisible by 253.
- Use negative numbers: If the result we get after the subtraction is negative, we will consider its absolute value for checking the divisibility of a number.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a number that is divisible by 253. For example: Check if 3036 is divisible by 253 using the divisibility test. Multiply the last two digits by 4, i.e., 36 × 4 = 144. Subtract this from the remaining digits excluding the last two digits, 30 - 144 = -114. Since -114 is not divisible by 253, 3036 is not divisible by 253.
- 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 253
The divisibility rule of 253 helps us to quickly check if the given number is divisible by 253, but common mistakes like calculation errors lead to incorrect conclusions. Here we understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiply the last two digits by 4 and then subtract the result from the remaining digits excluding the last two digits, and check whether it is a multiple of 253.
Mistake 2
Including the last two digits in subtraction.
Students should keep in mind to exclude the last two digits when subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they get a large number after subtraction. The process should be repeated until we get the smallest number that is divisible by 253.
Mistake 4
Not considering negative values.
Students sometimes ignore negative values, thinking divisibility rules don't apply. But the divisibility rule is applicable for negative values too. So consider the absolute value while checking for divisibility.
Mistake 5
Confusing the steps
Students often confuse or forget the steps. To avoid errors, students should practice regularly.
Divisibility Rule of 253 Examples
Problem 1
Is 759 divisible by 253?
No, 759 is not divisible by 253.
Explanation
To determine if 759 is divisible by 253, we use a unique method.
1) Break down the number into parts based on its digits or a derived rule.
2) Evaluate using modular arithmetic or another strategic approach (e.g., checking if 759/253 results in a whole number).
3) Since 759 divided by 253 equals approximately 3, which is not an integer, 759 is not divisible by 253.
Problem 2
Check the divisibility rule of 253 for 506.
No, 506 is not divisible by 253.
Explanation
To check the divisibility of 506 by 253:
1) Consider the breakdown of the number and compare it against multiples of 253.
2) 506 can be divided by 253 to get approximately 2, which is not an integer.
3) Therefore, 506 is not divisible by 253.
Problem 3
Is -759 divisible by 253?
No, -759 is not divisible by 253.
Explanation
Although -759 is negative, we check its divisibility similarly to positive numbers.
1) Remove the negative sign and check divisibility for 759.
2) As determined earlier, 759 is not divisible by 253.
3) Thus, -759 is also not divisible by 253.
Problem 4
Can 1012 be divisible by 253 following the divisibility rule?
Yes, 1012 is divisible by 253.
Explanation
To verify this:
1) Perform division: 1012 divided by 253 equals 4, which is an integer.
2) Therefore, 1012 is divisible by 253.
Problem 5
Check the divisibility rule of 253 for 2530.
Yes, 2530 is divisible by 253.
Explanation
To confirm:
1) Divide 2530 by 253, which equals 10, a whole number.
2) Hence, 2530 is divisible by 253.
FAQs on Divisibility Rule of 253
1.What is the divisibility rule for 253?
2.How many numbers are there between 1 and 1000 that are divisible by 253?
3.Is 759 divisible by 253?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 253 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 253?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 253 with numbers?
8.What role do numbers and Divisibility Rule of 253 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 253 skills?
Important Glossaries for Divisibility Rule of 253
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number without performing division.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 253 are 253, 506, 759, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding out the difference between two numbers, by reducing one number from another.
- Absolute value: The non-negative value of a number without regard to its sign.
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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.
