Divisibility Rule of 301

The divisibility rule for 301 is a method by which we can determine if a number is divisible by 301 without using the division method. Check whether 1204 is divisible by 301 using the divisibility rule.

Step 1: Multiply the last two digits of the number by a specific multiplier. Here in 1204, 04 is the last two digits. Multiply it by 3. 4 × 3 = 12.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last two digits. i.e., 12–12 = 0.

Step 3: As it is shown that the result is 0, which is a multiple of 301, the number is divisible by 301. If the result from step 2 isn't a multiple of 301, then the number isn't divisible by 301.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 301.

- Know the multiples of 301:

Memorize the multiples of 301 (301, 602, 903, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 301, then the number is divisible by 301.

- Use the negative numbers:

If the result we get after the subtraction is negative, we will ignore the sign 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 301. For example, check if 4529 is divisible by 301 using the divisibility test. Multiply the last two digits by 3, i.e., 29 × 3 = 87.

Subtract 87 from the remaining digits excluding the last two digits, 45–87 = -42. As the result is negative, consider it as positive, and since 42 is not a multiple of 301, 4529 is not divisible by 301.

- 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 301 are 301, 602, 903, etc.

• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

• Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.

• Multiplier: The number used to multiply the last digit(s) in the divisibility rule process to check for divisibility.