Divisibility Rule of 906

The divisibility rule for 906 is a method by which we can determine if a number is divisible by 906 without using the division method. Let's check whether 7254 is divisible by 906 using the divisibility rule.

Step 1: Verify the number is divisible by both 2 and 3.
- For 2: Check if the last digit is even. In 7254, the last digit is 4, which is even.
- For 3: Sum the digits and check if it's divisible by 3. 7+2+5+4=18, which is divisible by 3.

Step 2: Check if the number is divisible by 151 (since 906 = 2 × 3 × 151).
- Use the division method to verify divisibility by 151. Divide 7254 by 151 and check if it results in an integer.

If all the above conditions are satisfied, the number is divisible by 906.

 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 906.

Know the factors of 906:

Memorize that 906 = 2 × 3 × 151 to quickly check divisibility conditions.
   
Use the negative numbers:

If any subtraction or calculation results in a negative number, consider its absolute value when checking divisibility.

Repeat the process for large numbers:

For larger numbers, ensure each step is verified before concluding divisibility.

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: A set of guidelines to determine if one number can be divided by another without a remainder.

• Factors: Numbers that multiply together to produce another number (e.g., 2, 3, and 151 are factors of 906).

• Multiples: The product of a number and any integer. For example, multiples of 906 include 906, 1812, 2718, etc.

• Even numbers: Integers divisible by 2 without a remainder.

• Absolute value: The non-negative value of a number without regard to its sign.