What is the Divisor?

S0-SA1-0316

Grade Level:

Pre-School – Class 2

All domains without exception

Definition

What is it?

In a division problem, the divisor is the number that divides another number. It tells you how many equal parts you are trying to make or the size of each part. Think of it as the 'cutter' or the 'grouper' in a division sum.

Simple Example

Quick Example

Imagine you have 20 ladoos and you want to put them equally into 5 boxes for your friends. Here, 20 is the total number of ladoos, and 5 is the number of boxes you are using to divide them. So, 5 is the divisor.

Worked Example

Step-by-Step

Let's divide 36 by 4. What is the divisor here?

Step 1: Understand the division problem. We are trying to find out how many groups of 4 can be made from 36.
---Step 2: Identify the numbers involved. We have 36 and 4.
---Step 3: Recall the definition of a divisor: it's the number that divides another number.
---Step 4: In '36 divided by 4', the number '4' is doing the dividing.
---Step 5: Therefore, 4 is the divisor.

Answer: The divisor is 4.

Why It Matters

Understanding the divisor is fundamental to all division concepts, which are crucial in everyday math. It helps you equally share things, calculate rates, and understand fractions. This skill is vital for careers like shopkeepers managing inventory, engineers designing structures, or even chefs dividing ingredients for a recipe.

Common Mistakes

MISTAKE: Confusing the divisor with the dividend (the number being divided). For example, in 10 ÷ 2, thinking 10 is the divisor. | CORRECTION: The divisor is the number you are dividing BY. In 10 ÷ 2, 2 is the divisor because you are dividing 10 by 2.

MISTAKE: Not recognizing the divisor in different notation. For instance, in a fraction 3/4, thinking there is no divisor. | CORRECTION: In fraction notation like 3/4, the denominator (the bottom number) is the divisor. So, 4 is the divisor.

MISTAKE: Believing the divisor is always smaller than the dividend. | CORRECTION: While often true, the divisor can sometimes be larger than the dividend (e.g., 5 ÷ 10), resulting in a fraction or decimal answer. The role remains the same.

Practice Questions

Try It Yourself

QUESTION: In the division 25 ÷ 5 = 5, what is the divisor? | ANSWER: 5

QUESTION: A class of 42 students needs to be divided into groups of 6. Which number represents the divisor in this situation? | ANSWER: 6

QUESTION: If you have 100 rupees and want to buy pens that cost 20 rupees each, how many pens can you buy? Identify the divisor in this problem. | ANSWER: The divisor is 20.

MCQ

Quick Quiz

Which of the following is the divisor in the expression 72 / 8?

72/8

The Correct Answer Is:

The divisor is the number that performs the division, which is 8 in this case. 72 is the dividend, and 9 is the quotient.

Real World Connection

In the Real World

When you're calculating how many runs a cricket team needs per over to reach a target score, you divide the total runs needed by the remaining overs. The number of remaining overs is your divisor. Similarly, if you're a shopkeeper dividing a large carton of biscuits into smaller packs for sale, the number of biscuits you put in each small pack acts as your divisor.

Key Vocabulary

Key Terms

DIVIDEND: The number being divided | QUOTIENT: The result of a division | REMAINDER: The number left over after division | DIVISION: The process of splitting a number into equal parts

What's Next

What to Learn Next

Great job understanding the divisor! Next, you should explore the 'dividend' and 'quotient'. Knowing all three parts of a division problem will give you a complete picture of how division works and prepare you for more complex problems like long division.