What is the Divisor? | Simple Explanation for Class 5-10

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What is the Divisor (simple)?

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

In division, the divisor is the number that divides another number. It tells us how many equal groups we are making or the size of each group. Think of it as the 'splitter' in a division problem.

Simple Example

Quick Example

Imagine you have 10 ladoos and you want to share them equally among 2 friends. Here, 10 is the total number of ladoos, and 2 is the number of friends you are sharing them with. The '2' is the divisor because it tells you how many parts you are dividing the ladoos into.

Worked Example

Step-by-Step

Let's divide 15 chocolates equally among 3 children.

Step 1: Identify the total number of items. We have 15 chocolates.

Step 2: Identify the number of groups or parts we are dividing into. We are dividing among 3 children.

Step 3: Write the division problem: 15 ÷ 3.

Step 4: In this problem, the number '3' is doing the dividing. So, '3' is the divisor.

Answer: The divisor is 3.

Why It Matters

Understanding the divisor is key to solving many problems, from calculating costs per item to distributing resources fairly. It's used by engineers to design structures, by accountants to balance budgets, and even by chefs to scale recipes for different numbers of servings.

Common Mistakes

MISTAKE: Confusing the divisor with the dividend. Students sometimes think the first number in a division problem is always the divisor. | CORRECTION: The divisor is the number that 'does the dividing', which means it's the second number in the standard a ÷ b format. The dividend is the number being divided.

MISTAKE: Believing the divisor is always smaller than the dividend. | CORRECTION: While often true, the divisor can be larger than the dividend (e.g., 5 ÷ 10 = 0.5), resulting in a quotient less than 1. It still performs the function of dividing.

MISTAKE: Forgetting that the divisor cannot be zero. | CORRECTION: Division by zero is undefined. Always remember that the divisor must be a non-zero number.

Practice Questions

Try It Yourself

QUESTION: In the problem 24 ÷ 6, which number is the divisor? | ANSWER: 6

QUESTION: A bus travels 100 km and uses 5 litres of petrol. To find out how many km it travels per litre, you would divide 100 by 5. What is the divisor in this calculation? | ANSWER: 5

QUESTION: Rahul scored 45 marks in 5 subjects. To find his average marks per subject, you would do 45 ÷ 5. Identify the divisor and explain what it represents in this context. | ANSWER: The divisor is 5. It represents the number of subjects Rahul took.

MCQ

Quick Quiz

Which of these correctly identifies the divisor in the division problem 36 ÷ 9 = 4?

The Correct Answer Is:

The divisor is the number that divides another number. In 36 ÷ 9 = 4, the number 9 is doing the dividing, so it is the divisor. 36 is the dividend, and 4 is the quotient.

Real World Connection

In the Real World

When you buy a pack of 6 samosas for ₹60, you might want to know the cost of one samosa. You'd divide ₹60 by 6. Here, 6 is the divisor. This concept helps shopkeepers calculate unit prices and helps you budget your pocket money effectively for daily expenses like chai or snacks.

Key Vocabulary

Key Terms

DIVIDEND: The number being divided | QUOTIENT: The result of division | REMAINDER: The amount left over after division when numbers don't divide evenly | DIVISION: The process of splitting a number into equal parts

What's Next

What to Learn Next

Now that you understand the divisor, you're ready to learn about the 'dividend' and 'quotient'. These are the other important parts of a division problem, and knowing all three will help you solve any division challenge!