Divisibility Rule of 426

The divisibility rule for 426 is a method by which we can find out if a number is divisible by 426 without using long division. Check whether 852 is divisible by 426 using the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 71 (the prime factors of 426). 

- Divisibility by 2: The number must be even. 852 is even.
- Divisibility by 3: The sum of the digits must be divisible by 3. The sum of the digits of 852 is 8 + 5 + 2 = 15, which is divisible by 3.
- Divisibility by 71: For larger numbers, use direct division or the multiplication method. Divide 852 by 71, resulting in 12, which is a whole number.

Step 2: As 852 is divisible by 2, 3, and 71, it is divisible by 426.

Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 426.

Know the multiples of 426:

Memorize the multiples of 426 (426, 852, 1278, etc.) to quickly check divisibility. If the result from checking divisibility by 2, 3, and 71 confirms divisibility, then the number is divisible by 426.

Use the prime factors:

Break down the checks using the prime factors of 426 to determine divisibility.

Repeat the process for large numbers:

For larger numbers, repeat the divisibility checks for 2, 3, and 71 until you confirm divisibility.

Use the division method to verify:

Students can use direct division as a way to verify and cross-check their results. This will help them to verify and also learn.
 

• Divisibility Rule: The set of procedures used to determine if a number is divisible by another without direct division.
   
• Prime Factors: The prime numbers that multiply together to create a composite number. For 426, these are 2, 3, and 71.
   
• Multiples: Products obtained by multiplying a number by an integer, such as 426, 852, and 1278 for 426.
   
• Remainder: The amount left after division. A remainder of 0 indicates full divisibility.
   
• Whole Number: A non-negative integer without fractions or decimals.