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. Formation of Greatest and Smallest Numbers | Arranging the Numbers

    May 19, 24 03:36 PM

    Formation of Greatest and Smallest Numbers
    the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number…

    Read More

  2. Formation of Numbers with the Given Digits |Making Numbers with Digits

    May 19, 24 03:19 PM

    In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits.

    Read More

  3. Arranging Numbers | Ascending Order | Descending Order |Compare Digits

    May 19, 24 02:23 PM

    Arranging Numbers
    We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma…

    Read More

  4. Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

    May 19, 24 01:26 PM

    Rules for Comparison of Numbers
    Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

    Read More

  5. Worksheets on Comparison of Numbers | Find the Greatest Number

    May 19, 24 10:42 AM

    Comparison of Two Numbers
    In worksheets on comparison of numbers students can practice the questions for fourth grade to compare numbers. This worksheet contains questions on numbers like to find the greatest number, arranging…

    Read More