Divisibility Rule of 409

The divisibility rule for 409 is a method by which we can find out if a number is divisible by 409 or not without using the division method. Check whether 1227 is divisible by 409 with the divisibility rule.

Step 1: Divide the last three digits of the number by 409. Here, in 1227, the last three digits are 227.  

Step 2: Since 227 is not less than 409, it is not divisible by 409. Therefore, 1227 is not divisible by 409.

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 409.

1. Know the multiples of 409:

Memorize the multiples of 409 (409, 818, 1227, 1636, etc.) to quickly check divisibility. If the last three digits form a number that is a multiple of 409, then the number is divisible by 409.

2. Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 409. For example, check if 2045 is divisible by 409 using the divisibility test.

Step 1: Check if 045 is divisible by 409. Since 045 is less than 409, it is not divisible by 409. Therefore, 2045 is not divisible by 409.

3. 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 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 2 if the number ends with an even number.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 409 are 409, 818, 1227, etc.

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

• Division: Division is the process of dividing a number into equal parts or groups, to find how many times one number is contained within another.

• Verification: Verification is the process of checking the accuracy of a result or calculation, often by using a different method.