Divisibility Rule of 505

The divisibility rule for 505 is a method by which we can find out if a number is divisible by 505 or not without using the division method. Check whether 1515 is divisible by 505 with the divisibility rule.

Step 1: Check if the number is divisible by 5. Since 1515 ends in 5, it is divisible by 5.

Step 2: Check if the number is divisible by 101. Divide 1515 by 101 to see if it results in an integer. \(1515 \div 101 = 15\), which is an integer.

Step 3: Since 1515 is divisible by both 5 and 101, it is divisible by 505.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 505.

Know the factors of 505: Memorize the factors of 505 (5 and 101) to quickly check the divisibility. If a number is divisible by both 5 and 101, then it is divisible by 505.

Use mental math: Quickly identify if a number can be divided by 5 by checking the last digit. Use division for small numbers to verify divisibility by 101.

Repeat the process for large numbers:  Students should keep repeating the divisibility process with the factors (5 and 101) until they confirm divisibility by both.

For example: Check if 2525 is divisible by 505 using the divisibility test.  
2525 ends in 5, so it is divisible by 5.  
Next, divide 2525 by 101, \(2525 \div 101 = 25\), which is an integer.  
Since 2525 is divisible by both 5 and 101, it is divisible by 505.

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. For example, a number is divisible by 5 if the number ends with 0 or 5.

• Factors: Numbers that divide another number without leaving a remainder. For example, the factors of 505 are 5 and 101.

• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

• Division: The process of dividing one number by another.

• Verification: The process of confirming the correctness of a calculation or result, often by using an alternative method.