Divisibility Rule of 835

The divisibility rule for 835 is a method by which we can find out if a number is divisible by 835 or not without using the division method. Check whether 3340 is divisible by 835 with the divisibility rule.  

Step 1: Check if the number is divisible by 5, 167, and 1. Since 835 = 5 × 167 × 1, a number must be divisible by these factors.

Step 2: For divisibility by 5, the number must end in 0 or 5. Here, 3340 ends in 0, so it is divisible by 5.

Step 3: For divisibility by 167, divide 3340 by 167. Since 3340 ÷ 167 = 20, which is an integer, 3340 is divisible by 167.

Step 4: Since the number is divisible by both 5 and 167, it is divisible by 835.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 835.

Know the factors of 835:  

Memorize the factors of 835 (5, 167) to quickly check divisibility. If a number is divisible by both factors, it is divisible by 835.

Use known divisibility rules:  

Utilize the divisibility rules for smaller numbers like 5, which is straightforward, and 167, which involves division.

Repeat the process for large numbers:  

Students should check divisibility by 5 first, then 167. For large numbers, ensure both conditions are met.

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: The set of rules used to find out whether a number is divisible by another number without direct division.
   
• Factors: Numbers that divide another number exactly without leaving a remainder. For example, 5 and 167 are factors of 835.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 835 include 835, 1670, etc.
   
• Integer: A whole number that can be positive, negative, or zero.