Divisibility Rule of 75

The divisibility rule for 75 is a method by which we can find out if a number is divisible by 75 or not without using the division method. Check whether 450 is divisible by 75 with the divisibility rule.

Step 1: Check if the number is divisible by 3. Add the digits of 450: 4 + 5 + 0 = 9. Since 9 is divisible by 3, proceed to the next step.

Step 2: Check if the number is divisible by 25. A number is divisible by 25 if its last two digits form a number that is divisible by 25. The last two digits of 450 are 50, which is divisible by 25.

Step 3: Since 450 passes both tests, it is divisible by 75.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 75.

Know the multiples of 75:

Memorize the multiples of 75 (75, 150, 225, 300, 375, etc.) to quickly check divisibility. If the number matches one of these multiples, it is divisible by 75.

Use the divisibility rules for 3 and 25:

Ensure a number is divisible by both 3 and 25, as 75 is the product of these two numbers.

Repeat the process for large numbers:

For large numbers, break them down into smaller parts and apply the divisibility rules for 3 and 25 separately.

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 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 3 if the sum of its digits is divisible by 3.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 75 are 75, 150, 225, 300, etc.

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

• Addition: Addition is the process of finding the total or sum by combining two or more numbers.

• Division: Division is a mathematical operation where a number is divided into equal parts.