Divisibility Rule of 438

The divisibility rule for 438 is a method by which we can find out if a number is divisible by 438 or not without using the division method. Check whether 876 is divisible by 438 with the divisibility rule.  

Step 1: Check if the number is divisible by 2, 3, and 73, the prime factors of 438. 

Step 2: For divisibility by 2, the number should be even. Since 876 is even, it is divisible by 2.

Step 3: For divisibility by 3, sum the digits of the number. 8 + 7 + 6 = 21. Since 21 is divisible by 3, 876 is divisible by 3.

Step 4: For divisibility by 73, perform direct division to check. 876 ÷ 73 = 12, which is an integer.

Step 5: Since 876 is divisible by 2, 3, and 73, it is divisible by 438.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 438.

Know the prime factors of 438:

Memorize the prime factors 2, 3, and 73 to quickly check divisibility. If a number is divisible by these, it is divisible by 438.

Use simple checks:

For divisibility by 2, the number should be even; for 3, the sum of digits should be divisible by 3.

Repeat the process for large numbers:

For large numbers, check divisibility by each factor. For example, check if 2190 is divisible by 438 using the divisibility test.
  - 2190 is even, so divisible by 2.
  - Sum of digits: 2 + 1 + 9 + 0 = 12. Since 12 is divisible by 3, 2190 is divisible by 3.
  - For 73, perform direct division. 2190 ÷ 73 = 30, which is an integer.
  - Therefore, 2190 is divisible by 438.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn
 

• Divisibility Rule: A set of rules used to determine if one number is divisible by another without performing division.
   
• Prime Factors: The prime numbers that multiply together to produce a given number. For 438, these are 2, 3, and 73.
   
• Multiple: A result obtained by multiplying a number by an integer. For example, multiples of 438 include 438, 876, etc.
   
• Integer: Whole numbers, including negative numbers and zero.
   
• Division: The process of finding how many times one number is contained within another.