Divisibility Rule of 973

The divisibility rule for 973 is a method by which we can find out if a number is divisible by 973 or not without using the division method. Check whether 1946 is divisible by 973 with the divisibility rule.

Step 1: Multiply the last digit of the number by 4. Here in 1946, 6 is the last digit, so multiply it by 4. 6 × 4 = 24.

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 194 - 24 = 170.

Step 3: As it is shown that 170 is not a multiple of 973, the number is not divisible by 973. If the result from Step 2 were a multiple of 973, then the number would be divisible by 973.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 973.

Know the multiples of 973:

Memorize the multiples of 973 (973, 1946, 2919, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 973, then the number is divisible by 973.

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 973. For example, check if 3888 is divisible by 973 using the divisibility test. Multiply the last digit by 4, i.e., 8 × 4 = 32. Subtract 32 from the remaining digits excluding the last digit, 388 - 32 = 356. 356 is still not small enough, so repeat the process again. Multiply the last digit by 4, 6 × 4 = 24. Subtract 24 from the remaining numbers excluding the last digit, 35 - 24 = 11. As 11 is not a multiple of 973, 3888 is not divisible by 973.

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. For example, a number is divisible by 973 if it follows the specific steps outlined for 973.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 973 are 973, 1946, 2919, 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: The process of ensuring the correctness of a result, such as using division to verify if a number is divisible by 973.