Divisibility Rule of 698

The divisibility rule for 698 is a method by which we can find out if a number is divisible by 698 without using the division method. Check whether 1396 is divisible by 698 using the divisibility rule.
 

Step 1: Separate the number into two parts: the last three digits and the remaining digits. For 1396, the last three digits are 396.
 

Step 2: Multiply the last three digits by 2. So, 396 × 2 = 792.
 

Step 3: Subtract the result from Step 2 from the remaining digits. Here, 1 - 792 = -791.
 

Step 4: Check if the result is a multiple of 698 or zero. If it is, the number is divisible by 698. In this case, -791 is not a multiple of 698, so 1396 is not divisible by 698.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 698.
 

• Know the multiples of 698: Memorize the multiples of 698 to quickly check divisibility. If the result from the subtraction is a multiple of 698 or zero, the number is divisible by 698.
   
• Use the absolute value: If the result we get after the subtraction is negative, we will consider its absolute value to check the divisibility of a number.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is easier to verify against 698.
   
• 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 verify and also learn.
   

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
   
• Multiples: Results obtained when a number is multiplied by an integer. For example, multiples of 698 are 698, 1396, 2094, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one number from another.
   
• Absolute value: The non-negative value of a number without regard to its sign.