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What is the Divisor (Simple Term)?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
In a division problem, the divisor is the number by which another number is divided. It tells you how many equal groups you want to make or how many items are in each group.
Simple Example
Quick Example
Imagine you have 10 laddoos and you want to share them equally among 2 friends. Here, you are dividing 10 laddoos by 2 friends. The number 2 is the divisor because it's the number you are dividing by.
Worked Example
Step-by-Step
Let's divide 15 by 3.
Step 1: Write down the division problem: 15 ÷ 3.
---Step 2: Identify the numbers involved. We have 15 and 3.
---Step 3: Remember, the divisor is the number you are dividing BY.
---Step 4: In 15 ÷ 3, we are dividing 15 by 3.
---Step 5: So, the divisor is 3.
Answer: The divisor is 3.
Why It Matters
Understanding the divisor is key to solving many math problems, from simple sharing to complex calculations. It's used by engineers to distribute resources, by shopkeepers to calculate how many items fit in a box, and even in computer programming to split data.
Common Mistakes
MISTAKE: Confusing the divisor with the dividend (the number being divided). For example, in 20 ÷ 5, thinking 20 is the divisor. | CORRECTION: The divisor is always the second number in a division problem (when written as 'dividend ÷ divisor'). It's the number you are dividing BY.
MISTAKE: Thinking the divisor is always smaller than the dividend. For example, in 5 ÷ 10, thinking 10 cannot be the divisor because it's larger. | CORRECTION: The divisor can be larger than the dividend, leading to a quotient that is a fraction or decimal.
MISTAKE: Forgetting that the divisor cannot be zero. For example, trying to divide a number by 0. | CORRECTION: Division by zero is undefined in mathematics. Always remember that the divisor must be a non-zero number.
Practice Questions
Try It Yourself
QUESTION: In the problem 24 ÷ 6, what is the divisor? | ANSWER: 6
QUESTION: If you have 30 pencils and want to put 5 pencils in each box, what number represents the divisor in this situation? | ANSWER: 5
QUESTION: A car travels 120 km in 3 hours. To find out how many km it travels in 1 hour (average speed), you would divide 120 by 3. What is the divisor here? | ANSWER: 3
MCQ
Quick Quiz
Which of these numbers is the divisor in the expression 45 ÷ 9 = 5?
45
9
5
None of the above
The Correct Answer Is:
B
The divisor is the number by which another number is divided. In 45 ÷ 9, 45 is being divided by 9, making 9 the divisor. 45 is the dividend and 5 is the quotient.
Real World Connection
In the Real World
When you are sharing a mobile data pack of 10 GB equally among 5 family members, you divide 10 GB by 5. Here, 5 is the divisor, helping you figure out how much data each person gets. This is a common calculation we do in our daily lives.
Key Vocabulary
Key Terms
DIVIDEND: The number being divided | QUOTIENT: The result of division | REMAINDER: The amount 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 learn about the 'Dividend' and the 'Quotient'. These are the other important parts of a division problem, and knowing them all will make you a division expert!
