Divisibility Rule of 749

The divisibility rule for 749 is a method by which we can find out if a number is divisible by 749 or not without using the division method.

Check whether 1498 is divisible by 749 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 1498, 8 is the last digit, multiply it by 2. 8 × 2 = 16

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 149–16 = 133.

Step 3: As it is shown that 133 is not a multiple of 749, therefore, the number is not divisible by 749. If the result from step 2 is a multiple of 749, then the number is divisible by 749.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 749.

Know the multiples of 749:

Memorize the multiples of 749 (749, 1498, 2247, 2996, 3745…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 749, then the number is divisible by 749.

Use the negative numbers:

If the result we get after the subtraction is negative, we will avoid 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 749.

For example, check if 149798 is divisible by 749 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, 14979–16 = 14963. Still, 14963 is a large number, hence we will repeat the process again and multiply the last digit by 2, 3 × 2 = 6.

Now subtracting 6 from the remaining numbers excluding the last digit, 1496–6 = 1490. As 1490 is not a multiple of 749, 149798 is not divisible by 749.

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 or not.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 749 are 749, 1498, 2247, 2996, etc.

• Integers: Integers are the numbers that include all the 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.

• Verification: Verification is the process of confirming the results by using an alternative method like direct division to ensure accuracy.