DIVISOR

Divisor

Definition Of Divisor

The quantity by which another quantity i.e. the dividend is to be divided is called the Divisor.

More About Divisor

If the value of the divisor in an expression is zero, then the expression is undefined.

Examples of Divisor

In the expression Examples of Divisor = 7, 2 is the divisor.
In the expression = c, b is the divisor.

Video Examples: Math Tutor Clips Dividing with a Two Digit Divisor

Solved Example on Divisor

Ques: Identify the divisor in the equation 135 ÷ 3 = 45.

Choices:

A. 3
B. 45
C. 5
D. 135
Correct Answer: A

Solution:

Step 1: The quantity by which another quantity i.e. the dividend is to be divided is called the divisor.
Step 2: Here, 3 is dividing 135 and 45 is the quotient.
Step 3: So, 3 is the divisor in the equation 135 ÷ 3 = 45.

Quick Summary

The divisor is the number you divide by.
If the divisor is zero, the expression is undefined.

\[ a \div b = c, \text{where } b \text{ is the divisor} \]

⚠️ Common Mistakes

Confusing divisor and dividend
Forgetting that division by zero is undefined

🌍 Real-World Uses

Dividing a pizza into equal slices among friends (the number of friends is the divisor).
Calculating the number of buses needed to transport a group of students, given the capacity of each bus (bus capacity is the divisor).
Determining how many weeks it will take to pay off a loan, given the fixed weekly payment amount (payment amount is the divisor).

📋 Standards Alignment

CCSS.MATH.CONTENT.3.OA.A.2
CCSS.MATH.CONTENT.4.NBT.B.6

🍎 Teacher Insights

Use real-world examples to illustrate division, such as sharing cookies or dividing students into groups. Emphasize the relationship between division and multiplication.

🎓 Prerequisites

Basic division
Understanding of quantities

Check Your Knowledge

Q1: In the equation 135 ÷ 3 = 45, which number is the divisor?

3 45 5 135

Q2: What is the divisor in 20 ÷ 5 = 4?

20 5 4 1

Frequently Asked Questions

Q: What happens if the divisor is zero?
A: If the divisor is zero, the expression is undefined.

Q: Is the divisor always smaller than the dividend?
A: No, the divisor can be larger or smaller than the dividend.