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 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.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the 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.
Is 759 divisible by 253?
No, 759 is not divisible by 253.
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.
Check the divisibility rule of 253 for 506.
No, 506 is not divisible by 253.
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.
Is -759 divisible by 253?
No, -759 is not divisible by 253.
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.
Can 1012 be divisible by 253 following the divisibility rule?
Yes, 1012 is divisible by 253.
To verify this:
1) Perform division: 1012 divided by 253 equals 4, which is an integer.
2) Therefore, 1012 is divisible by 253.
Check the divisibility rule of 253 for 2530.
Yes, 2530 is divisible by 253.
To confirm:
1) Divide 2530 by 253, which equals 10, a whole number.
2) Hence, 2530 is divisible by 253.
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.