Properties of Factors

The properties of factors are discussed step by step according to its property.

Property (1):

Every whole number is the product of 1 and itself so


(i) Each number is a factor of itself. 

19 x 1 = 19, 

So, 19 is the factor of 19. 

(ii) 1 is the factor of every number. 

We know that a number multiplied by 1 is the number itself. So, 1 is a factor of every number.

For example

21 ÷ 1 = 21. So, 1 is the factor of 21,

96 ÷ 1 = 96, So, 1 is a factor of 96.

31 x 1 = 31, So, 1 is the factor of 31.


Property (2):

Every number is a factor of zero (0)

As, 7 x 0 = 0,

17 x 0 = 0,

93 x 0 = 0

So, 7, 17, 93, ……, etc., are the factors of 0.


Property (3):

1 is the smallest factor of every number. 

1 is the smallest factor of a multiple and the greatest factor of a multiple is the multiple itself.

A number is a factor of itself. SO, a number itself is its own greatest factor. For example 73 ÷ 1 = 73 so, 73 and 1 are the factors. 73 is the greatest factors.


Property (4):

Every number other than 1 has at least two factors, namely the number itself and 1.

We know that 1 and the number itself are always the factors of every number. This means that every number has at least 2 factors.


Therefore, the properties of factors are explained above so, that student can understand each property.


To find that whether a number is a factor of another number, we divide the bigger number by the smaller number. If the remainder is zero, we say that the divisor is a factor of the dividend.

For example:

1. Is 5 a factor of 625?

5 is a Factor of 625

Here, 5 divides 625 exactly. So 5 is a factor of 625.


2. Is 4 a factor of 1121?

4 is Not a Factor of 1121

Here, 4 does not divide 1121 exactly. So 4 is not a factor of 1121.



Related Concept

Factors and Multiples by using Multiplication Facts

Factors and Multiples by using Division Facts

Multiples

Properties of Multiples

Examples on Multiples

Factors

Factor Tree Method

Properties of Factors

Examples on Factors

Even and Odd Numbers

Even and Odd Numbers Between 1 and 100

Examples on Even and Odd Numbers









4th Grade Math Activities

From Properties of Factors to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Properties of Multiplication | Multiplicative Identity | Whole Numbers

    Mar 29, 24 09:02 AM

    Properties of Multiplication of Whole Numbers
    There are six properties of multiplication of whole numbers that will help to solve the problems easily. The six properties of multiplication are Closure Property, Commutative Property, Zero Property…

    Read More

  2. Multiplication of a Number by a 3-Digit Number |3-Digit Multiplication

    Mar 28, 24 06:33 PM

    Multiplying by 3-Digit Number
    In multiplication of a number by a 3-digit number are explained here step by step. Consider the following examples on multiplication of a number by a 3-digit number: 1. Find the product of 36 × 137

    Read More

  3. Multiply a Number by a 2-Digit Number | Multiplying 2-Digit by 2-Digit

    Mar 27, 24 05:21 PM

    Multiply 2-Digit Numbers by a 2-Digit Numbers
    How to multiply a number by a 2-digit number? We shall revise here to multiply 2-digit and 3-digit numbers by a 2-digit number (multiplier) as well as learn another procedure for the multiplication of…

    Read More

  4. Multiplication by 1-digit Number | Multiplying 1-Digit by 4-Digit

    Mar 26, 24 04:14 PM

    Multiplication by 1-digit Number
    How to Multiply by a 1-Digit Number We will learn how to multiply any number by a one-digit number. Multiply 2154 and 4. Solution: Step I: Arrange the numbers vertically. Step II: First multiply the d…

    Read More

  5. Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat

    Mar 25, 24 05:36 PM

    Multiplying 3-Digit Number by 1-Digit Number
    Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numb…

    Read More