Divisibility Rule of 252

The divisibility rule for 252 is a method by which we can find out if a number is divisible by 252 or not without using the division method. Check whether 504 is divisible by 252 with the divisibility rule.

Step 1: Check if the number is divisible by 2. Since 504 ends in 4, it is divisible by 2.

Step 2: Check if the number is divisible by 3. Add the digits of the number: 5 + 0 + 4 = 9. Since 9 is divisible by 3, 504 is divisible by 3.

Step 3: Check if the number is divisible by 7. Double the last digit: 4 × 2 = 8. Subtract this from the remaining part of the number: 50 - 8 = 42. Since 42 is a multiple of 7, 504 is divisible by 7.

Step 4: Since 504 is divisible by 2, 3, and 7, it is divisible by 252 (since 252 = 2 × 3 × 7).

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 252.

• Know the factors of 252: Remember that 252 is the product of 2, 3, and 7. If a number is divisible by these, it is divisible by 252.
   
• Use the divisibility rules for 2, 3, and 7: Check each factor individually to determine if the number is divisible by all three.
   
• Combine steps: Practice combining the checks for 2, 3, and 7 to quickly ascertain divisibility by 252.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
   
• Factors: Numbers that are multiplied to get another number; for 252, these are 2, 3, and 7.
   
• Multiple: A number that can be divided by another number without a remainder.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Subtraction: A process of finding the difference between two numbers, often used in divisibility checks like for 7.