Divisibility Rule of 408

The divisibility rule for 408 helps us determine if a number is divisible by 408 without performing division. Check whether 1224 is divisible by 408 using the divisibility rule.

Step 1: Check if the number is divisible by 8. The last three digits of 1224 are 224, and 224 ÷ 8 = 28, so 224 is divisible by 8.

Step 2: Check if the number is divisible by 51 (since 408 = 8 × 51). The sum of the digits of 1224 is 1 + 2 + 2 + 4 = 9, and since 9 is not divisible by 3, 1224 is not divisible by 51.

Step 3: Since 1224 is not divisible by both 8 and 51, it is not divisible by 408.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 408.

Know the multiples of 408:

Familiarize yourself with the multiples of 408 (408, 816, 1224, 1632, etc.) to quickly check divisibility. If a number is a multiple of 408, then it is divisible by 408.

Use the sum of the digits for divisibility by 3:

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. This helps in checking divisibility by 51.

Repeat the process for large numbers:

For larger numbers, keep applying the divisibility tests for 8 and 51 until you can clearly determine divisibility by 408.

Use the division method to verify:

Students can use the division method to verify and cross-check their results, providing an additional layer of assurance.

• Divisibility rule: A set of rules used to find out whether a number is divisible by another number without performing division.

• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 408 are 408, 816, 1224, 1632, etc.

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

• Sum of digits: The total obtained by adding all digits of a number, used for checking divisibility by 3.

• Subtraction: The process of finding the difference between two numbers, not directly used here but important in other divisibility rules.