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

Place Value Chart | Place Value Chart of the International System
In place value chart, the digits are grouped in the threes in a big number. The number is read from left to right as … billion …million …. thousands …ones. The place value chart of the International System is given below: Place Value Chart 100,000 = 100 thousand 1,000,000
Place Value and Face Value | Place and Face Value of Larger Number
The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know that the position of a digit in a number determines its corresponding value
5-Digit Numbers | Smallest 5-Digit Number | Greatest 5-Digit Number
We know that 9999 is the greatest 4-digit number. Now, let us see what number we get by adding 1 to it. On adding 1 to 9999, we get 10000. We read it as ten thousand. 10000 is the smallest 5-digit number.
6-Digit Numbers | Smallest 6-Digit Number | Greatest 6-Digit Number
Here we will learn 6-digit numbers, formation of 6-digit numbers, place value and face value of 6-digit numbers, successor of 6-digit numbers, predecessors of 6-digit numbers, the smallest 6-digit number and the greatest 6-digit number.
Check for Subtraction and Addition | Checking Subtraction | Problems
We will learn to check for subtraction and addition answers after solving. Difference of two numbers is correct when the sum of the subtrahend number and the difference is equal to the minuend.
Worksheet on Mixed Addition and Subtraction | Questions on Addition
In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together.
Addition & Subtraction Together |Combination of addition & subtraction
We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and ‘-‘ signs. We find the sum of the numbers with ‘+’ sign and similarly the sum
Worksheet on Word Problems on Addition and Subtraction Together | Ans
In 4th grade worksheet on word problems on addition and subtraction, all grade students can practice the questions on word problems based on addition and subtraction. This exercise sheet on
Successor and Predecessor | Successor of a Whole Number | Predecessor
The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number. For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also
Formation of Numbers | Smallest and Greatest Number| Number Formation
In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,
Examples on the Formation of Greatest and the Smallest Number |Example
In examples on the formation of greatest and the smallest number we know that the procedure of arranging the numbers in ascending and descending order.
Formation of Greatest and Smallest Numbers | Arranging the 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 increases its place value. So the greatest digit should be placed at the
Estimating Sums and Differences | Estimations | Practical Calculations
For estimating sums and differences in the number we use the rounded numbers for estimations to its nearest tens, hundred, and thousand. In many practical calculations, only an approximation is required rather than an exact answer. To do this, numbers are rounded off to a
Worksheet on Expanded form of a Number | Expanded Form of a Number
Worksheet on expanded form of a number for fourth grade math questions to practice the expanded form according to the place values of its digit. 1. Write the expanded form of the following numbers
Skip Counting Numbers | Method of Skip Counting | Skip Counting
We know skip counting numbers with smaller numbers. Now, we will learn skip counting with larger numbers. Write the number as per following instruction: 1. Write six numbers more after 2,00,000