Divisibility Rule of 652

The divisibility rule for 652 is a method by which we can find out if a number is divisible by 652 without using the division method. Let's check whether 1304 is divisible by 652 using this rule.

Step 1: Divide the number into groups where the last three digits form a group. In 1304, the last three digits are 304.

Step 2: Multiply the group of the last three digits by 2. 304 × 2 = 608.

Step 3: Subtract the result from Step 2 from the remaining digits on the left. 1 - 608 = -607.

Step 4: As it is shown that -607 is not a multiple of 652, the number is not divisible by 652. If the result from Step 3 was a multiple of 652, then the number would be divisible by 652.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 652.\

• Know the multiples of 652: Memorize the multiples of 652 (652, 1304, 1956…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 652, then the number is divisible by 652.
   
• Use negative numbers: If the result we get after subtraction is negative, we will avoid the negative sign and consider its absolute value for checking 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 divisible by 652.
  
  For example: Check if 3912 is divisible by 652 using the divisibility test. Divide the number into groups, 912 is the last group. Multiply 912 by 2, i.e., 912 × 2 = 1824. Subtract from the remaining digits, 3 - 1824 = -1821. Since -1821 is not a multiple of 652, 3912 is not divisible by 652.
   
• 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 verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For instance, a number is divisible by 2 if it ends with an even digit.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 652 are 652, 1304, 1956, etc.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Absolute value: The absolute value of a number is its distance from zero on the number line, regardless of direction.