Divisibility Rule of 788

The divisibility rule for 788 is a method to determine if a number is divisible by 788 without performing the division method. Let's check whether 1576 is divisible by 788 using the divisibility rule.

Step 1: Check if the number is divisible by both 4 and 197, as 4 × 197 = 788.

Step 2: For divisibility by 4, the last two digits of the number should form a number divisible by 4. Here, 76 is divisible by 4.

Step 3: For divisibility by 197, multiply the last digit of the number by 9 (a factor derived from 1001 - 197) and subtract this from the rest of the number. For 1576, multiply 6 by 9 to get 54, then subtract 54 from 157, i.e., 157 - 54 = 103.

Step 4: Check if the result, 103, is divisible by 197. Since it is not, 1576 is not divisible by 788.

Learning the divisibility rule helps kids master division. Let’s look at some tips and tricks for the divisibility rule of 788.

Know the factors of 788:

Break down 788 into its prime factors: 788 = 4 × 197. Ensure the number is divisible by both factors.

Practice divisibility by 4:

To check divisibility by 4, memorize that the last two digits should form a number divisible by 4.

Use complementary factors for 197:

For divisibility by 197, use complementary techniques like multiplying the last digit by 9 and subtracting from the remaining digits.

Repeat the process for large numbers:

For large numbers, repeat the divisibility process until you reach smaller numbers that can be easily checked.

Verify using the division method:

Use the division method to verify and crosscheck results, reinforcing understanding and learning.
 

• Divisibility Rule: A set of guidelines to determine if one number is divisible by another without performing division.

• Factors: Numbers that divide another number completely without leaving a remainder.

• Prime Factors: The prime numbers that multiply together to form a given number.

• Subtraction: The operation of finding the difference between numbers.

• Verification: The process of confirming the accuracy of a result by using additional methods, such as division.