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RECTANGULAR NUMBERS

Rectangular Numbers

Definition Of Rectangular Numbers

The numbers that can be arranged to form a rectangle are called Rectangular Numbers.

More About Rectangular Numbers

Rectangular numbers are always represented in rectangular array of rows and columns.

Examples of Rectangular Numbers

 
The number 45 can be arranged in rectangular form as shown above. The above rectangular form is horizontal
It can also be shown in vertical form as shown below

Video Examples: Writing rules for Rectangular Numbers

Solved Example on Rectangular Numbers

Ques: Which of the following is the rectangular form for the arrangement of the number 16?

Choices:

A. Figure 2
B. Figure 1
C. Figure 3
D. none of these
Correct Answer: A

Solution:

Step 1: Rectangular numbers are the numbers that can be arranged to form a rectangle shape
Step 2: Here, the Figure 2 has the number 16 arranged in a rectangular form
Step 3: So, Figure 2 represents a rectangular number

Quick Summary

  • Rectangular numbers can be represented as a rectangle.
  • They are the product of two different factors (rows and columns).
\[ N = r * c, where N is the rectangular number, r is the number of rows, and c is the number of columns. \]

🍎 Teacher Insights

Use manipulatives like tiles or blocks to help students visualize rectangular arrangements. Emphasize the relationship between multiplication and rectangular numbers.

🎓 Prerequisites

  • Basic multiplication
  • Understanding of arrays
  • Concept of rows and columns

Check Your Knowledge

Q1: Which of the following numbers is a rectangular number?

Q2: Which figure represents 16 as rectangular number?

Frequently Asked Questions

Q: Are all numbers rectangular numbers?
A: No, prime numbers cannot be arranged into a rectangle other than a 1 x prime arrangement.

Q: Is a square number also a rectangular number?
A: Yes, a square number is a special case of a rectangular number where the number of rows and columns are equal.

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