Divisibility Rule of 428

The divisibility rule for 428 is a method by which we can determine if a number is divisible by 428 without using the division method. Check whether 856 is divisible by 428 with the divisibility rule.

Step 1: Divide the number into two parts. Here, in 856, divide it into 8 and 56.

Step 2: Check if both parts are divisible by 4 (since 428 = 4 × 107).

Step 3: Since both 8 and 56 are divisible by 4 (8 ÷ 4 = 2 and 56 ÷ 4 = 14), proceed to the next step.

Step 4: Check if the result from dividing the parts by 4 is divisible by 107 (since 428 = 4 × 107).

Step 5: Since 214 (the result) is divisible by 107 (214 ÷ 107 = 2), 856 is divisible by 428.

Learning the divisibility rule will help kids master division. Let’s explore some tips and tricks for the divisibility rule of 428.

Know the multiples of 428:

Memorize the multiples of 428 (428, 856, 1284, etc.) to quickly check divisibility.

Use the factorization method:

Remember that 428 = 4 × 107. Check for divisibility by 4 and 107 separately.

Simplify large numbers:

Break down large numbers into smaller parts for easier calculation.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This approach will help them confirm and learn.
 

• Divisibility rule: A set of guidelines used to determine if a number is divisible by another number without performing actual division.
   
• Factors: Numbers that multiply together to give another number. For example, 4 and 107 are factors of 428.
   
• Multiples: The results obtained from multiplying a number by an integer. For example, multiples of 428 are 428, 856, 1284, etc.
   
• Remainder: The amount left after division when one number does not divide another exactly.
   
• Division: The process of determining how many times one number is contained within another.