Subscribe to our YouTube channel for the latest videos, updates, and tips.


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.


Properties of Factors

Property 1: A number has a finite number of factors.

Property 2: 1 and the number itself are the factors of every number.

Property 3: 1 is the smallest factor of any number.

Property 4: The number itself is the greatest factor of every number.

Property 5: Factors of a number are always smaller or equal to the number.

Property 6: Every factor of a number is the exact divisor of the number.

Properties of Factors


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.



You might like these

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




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.



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.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Average | Word Problem on Average | Questions on Average

    May 19, 25 02:53 PM

    Worksheet on Average
    In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.

    Read More

  2. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More