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Last updated on February 17th, 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 259.
The divisibility rule for 259 is a method by which we can find out if a number is divisible by 259 or not without using the division method. Check whether 518 is divisible by 259 with the divisibility rule.
Step 1: Multiply the last digit of the number by 9; here in 518, 8 is the last digit, so multiply it by 9. 8 × 9 = 72
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 51 - 72 = -21.
Step 3: As -21 is not a multiple of 259, 518 is not divisible by 259. If the result from Step 2 is a multiple of 259, the number is divisible by 259.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 259.
Memorize the multiples of 259 (259, 518, 777, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 259, then the number is divisible by 259.
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.
Students should keep repeating the divisibility process until they reach a small number that is divisible by 259.
For example: Check if 1036 is divisible by 259 using the divisibility test.
Multiply the last digit by 9, i.e., 6 × 9 = 54
Subtract the remaining digits excluding the last digit by 54, 103 - 54 = 49
Repeat the process: Multiply the last digit by 9, 9 × 9 = 81.
Subtract 81 from the remaining numbers excluding the last digit, 4 - 81 = -77.
As -77 is not a multiple of 259, 1036 is not divisible by 259.
Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
Is 777 divisible by 259?
Check the divisibility rule of 259 for 1554.
Is 518 divisible by 259?
Can 2331 be divisible by 259 following the divisibility rule?
Check the divisibility rule of 259 for 1295.
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.