Divisibility Rule of 578

The divisibility rule for 578 is a method by which we can determine if a number is divisible by 578 without using the division method. Let's check whether 1156 is divisible by 578 using the divisibility rule.

Step 1: Multiply the last digit of the number by 2. Here in 1156, 6 is the last digit, so multiply it by 2. 6 × 2 = 12.

Step 2: Subtract the result from Step 1 with the remaining values, but do not include the last digit, i.e., 115–12 = 103.

Step 3: As it is shown that 103 is not a multiple of 578, the number 1156 is not divisible by 578. If the result from Step 2 were a multiple of 578, then the number would be divisible by 578.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 578.

• Know the multiples of 578: Memorize the multiples of 578 (578, 1156, 1734, 2312, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 578, then the number is divisible by 578.

• Use the negative numbers: If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive 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 578. Example: Check if 3468 is divisible by 578 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 346–16 = 330. 330 is not divisible by 578, hence 3468 is not divisible by 578.

• 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 determine whether a number is divisible by another number without performing division. 

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 578 are 578, 1156, 1734, 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.

• Verification: The process of checking the accuracy of results, such as using division to confirm divisibility.