Factors & Multiples - Types of numbers for Class 4
This is a comprehensive lesson plan for teaching factors & multiples - types of numbers to grade 4 students. The lesson is designed to make the concepts easy and engage students with activities like quizzes, practice questions and worksheets.
Teachers can use this guide as a reference for delivering the concepts to students and engaging them in the classroom with the various questions and examples given on this page.
For parents, there are 12 downloadable practice worksheets that they can use for their kids.
Factors are the numbers which can divide the given number in such a way so that the number is completely divided with no remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
Multiples are the numbers you get when a given number is multiplied by whole numbers. For example, the multiples of 3 are 3, 6, 9, 12, 15, and so on.
Actually, factors tear something apart into separate items, and multiples are the results of multiplication.
Even Numbers
What are even numbers?
Even numbers are those which are divisible by 2 without leaving a remainder.
Always multiples of 2, they can be divided into two equal groups.
12 is composite as its factors are 1, 2, 3, 4, 6, and 12
18 is composite as its factors are 1, 2, 3, 6, 9, and 18
Fun Fact:
This is the Number 1 special - The number 1 is neither prime nor composite. That is, 1 is the only integer that has exactly one factor-that is itself.
A prime number has only two factors: the number itself, and 1. It cannot be divided by another number. For example, 7 is a prime number because it's only factors are 1 and 7.
Multiples go indefinitely - There are infinite multiples of any number. So for example the multiples of five are - five, ten, fifteen, twenty, twenty-five, and countless more.
Comparison of Types of Numbers:
Type of number
Divisibility
Examples
Even
Divisible by 2
2, 4, 6, 8, 10, 12, 14
Odd
Not divisible by 2
1, 3, 5, 7, 9, 11, 13
Prime
Divisible by 1 and itself only
2, 3, 5, 7, 11, 13
Composite
Divisible by itself and other numbers
4, 6, 8, 9, 10, 12, 14
Orchid's learning material
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FAQs
How many kinds of factors are there and what are they?
There are two main types of factors: Prime factors (factors which are prime numbers) and Composite factors (factors which are composite numbers).
What are factors and multiple rules?
Factors: A factor is that number, which divides another number without leaving a remainder and which is itself an integer.
Multiples: A multiple of a number is the product of that number with an integer.
How many factors does any number have?
The factors of a number depend on its divisibility. Some numbers have only a few factors while others, such as composite numbers have many factors.
How to teach factors and multiples?
Use interactive materials such as factor trees, multiplication tables, and actual examples in real life, such as counting a bunch of items by making them into groups.
Things you have learned!
Types of numbers - even, odd, prime and composite along with examples