Divisibility Rule of 315

The divisibility rule for 315 is a method by which we can find out if a number is divisible by 315 or not without using the division method. Check whether 630 is divisible by 315 with the divisibility rule.  

Step 1: Check if the number is divisible by 5. Since 630 ends in 0, it is divisible by 5.

Step 2: Check if the number is divisible by 9. Add the digits of 630 (6 + 3 + 0 = 9). Since 9 is divisible by 9, 630 is divisible by 9.

Step 3: Check if the number is divisible by 7. Multiply the last digit by 2 (0 × 2 = 0) and subtract it from the rest of the number (63 - 0 = 63). Since 63 is divisible by 7, 630 is divisible by 7.

Since 630 is divisible by 5, 9, and 7, it is divisible by 315.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 315. 

Know the multiples of 315:

Memorize the multiples of 315 (315, 630, 945, 1260, etc.) to quickly check divisibility.

Use the divisibility rules of 5, 9, and 7:

Ensure a number is divisible by each of these to confirm divisibility by 315.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for each factor until they reach a small number that is divisible by all. For example, check if 1575 is divisible by 315. It ends in 5, so it's divisible by 5. The sum of its digits is 18, which is divisible by 9. Finally, using the rule for 7, 157 - (5 × 2) = 147, which is divisible by 7. So, 1575 is divisible by 315.

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 5 if it ends in 0 or 5.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 315 are 315, 630, 945, etc.

• Factors: Factors are numbers we multiply together to get another number. For example, 5, 9, and 7 are factors of 315.

• Integers: Integers are numbers that include all 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.