Divisibility Rule of 437

The divisibility rule for 437 is a method to determine if a number is divisible by 437 without using the division method. Let’s check whether 873474 is divisible by 437 using the divisibility rule.

Step 1: Split the number into groups of three digits from the right. For 873474, we have two groups: 474 and 873.

Step 2: Multiply the last group by 2, so 474 × 2 = 948.

Step 3: Subtract the result from Step 2 from the next group. So, 873 - 948 = -75.

Step 4: If the result from Step 3 is a multiple of 437 or zero, the number is divisible by 437. Here, -75 is not a multiple of 437, so 873474 is not divisible by 437.

Learn the divisibility rule to master division. Let’s learn a few tips and tricks for the divisibility rule of 437.

Know the multiples of 437:

Memorize the multiples of 437 (437, 874, 1311, 1748…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 437, the number is divisible by 437.

Use the negative numbers:

If the result we get after the subtraction is negative, consider it as positive for checking divisibility.

Repeat the process for large numbers:

Students should repeat the divisibility process until they reach a small number that is divisible by 437. 

Use the division method to verify:

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

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
   
• Multiples: Products obtained by multiplying a number by integers. For example, multiples of 437 are 437, 874, 1311, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: A process of finding the difference between two numbers by reducing one number from another.
   
• Groups of three: Dividing a number into sets of three digits from right to left for the purpose of applying the divisibility rule.