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 251.
The divisibility rule for 251 is a method by which we can find out if a number is divisible by 251 or not without using the division method. Check whether 75351 is divisible by 251 with the divisibility rule.
Step 1: Multiply the last digit of the number by a certain factor. For 251, this factor is 26. In 75351, 1 is the last digit, multiply it by 26. 1 × 26 = 26.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 7535 - 26 = 7509.
Step 3: Repeat the process with the new number (7509) if necessary. Since 7509 is still a large number, repeat the process. The last digit is 9, 9 × 26 = 234. Subtract from the remaining number, 750 - 234 = 516.
Step 4: Since 516 is still large, continue the process. The last digit is 6, 6 × 26 = 156. Subtract from 51, 51 - 156 = -105.
Step 5: Since the result is negative, take the absolute value, 105. Repeat the process again with 105. The last digit is 5, 5 × 26 = 130. Subtract from 10, 10 - 130 = -120.
Step 6: Take the absolute value again, which is 120. Since 120 is not a multiple of 251, the original number is not divisible by 251.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 251.
The divisibility rule of 251 helps us quickly check if a given number is divisible by 251, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 753 divisible by 251?
Yes, 753 is divisible by 251.
To check if 753 is divisible by 251, we need to follow the divisibility rule; however, there isn't a simple rule like for 7, so we perform direct division: 753 ÷ 251 = 3. Since the result is an integer, 753 is divisible by 251.
Check the divisibility of 502 for 251.
Yes, 502 is divisible by 251.
To determine if 502 is divisible by 251, we apply direct division: 502 ÷ 251 = 2. The division results in an integer, confirming that 502 is divisible by 251.
Is 1004 divisible by 251?
Yes, 1004 is divisible by 251.
We check the divisibility of 1004 by 251 through division: 1004 ÷ 251 = 4. The quotient is an integer, indicating that 1004 is divisible by 251.
Can 503 be divisible by 251?
Yes, 503 is divisible by 251.
We verify if 503 is divisible by 251 by performing division: 503 ÷ 251 = 2. Since the result is a whole number, 503 is divisible by 251.
Check the divisibility rule of 251 for 1255.
Yes, 1255 is divisible by 251.
To confirm if 1255 is divisible by 251, we divide: 1255 ÷ 251 = 5. As the division yields an integer, 1255 is divisible by 251.
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.