Properties of Factors
The properties of factors are discussed step by step according to its property.
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.
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.
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.
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.
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.
1. Is 5 a factor of 625?
Here, 5 divides 625 exactly. So 5 is a factor of 625.
2. Is 4 a factor of 1121?
Here, 4 does not divide 1121 exactly. So 4 is not a factor of 1121.
You might like these
Divisible by 10 is discussed below. A number is divisible by 10 if it has zero (0) in its units place. Consider the following numbers which are divisible by 10, using the test of divisibility by 10:
Divisible by 5 is discussed below: A number is divisible by 5 if its units place is 0 or 5. Consider the following numbers which are divisible by 5, using the test of divisibility by
A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9:
Divisible by 6 is discussed below: A number is divisible by 6 if it is divisible by 2 and 3 both. Consider the following numbers which are divisible by 6, using the test of divisibility by 6: 42
A number is divisible by 4 if the number is formed by its digits in ten’s place and unit’s place (i.e. the last two digits on its extreme right side) is divisible by 4. Consider the following numbers which are divisible by 4 or which are divisible by 4, using the test of
A number is divisible by 3, if the sum of its all digits is a multiple of 3 or divisibility by 3. Consider the following numbers to find whether the numbers are divisible or not divisible by 3: (i) 54 Sum of all the digits of 54 = 5 + 4 = 9, which is divisible by 3.
The product of highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two numbers is equal to the product of two numbers i.e., H.C.F. × L.C.M. = First number × Second number or, LCM × HCF = Product of two given numbers
To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4, 5, 6, 7, 8, 9, 10 can be perform simply by examining the digits of the
We will discuss here about the method of h.c.f. (highest common factor). The highest common factor or HCF of two or more numbers is the greatest number which divides exactly the given numbers. Let us consider two numbers 16 and 24.
What are the prime and composite numbers? Prime numbers are those numbers which have only two factors 1 and the number itself. Composite numbers are those numbers which have more than two factors.
What are multiples? ‘The product obtained on multiplying two or more whole numbers is called a multiple of that number or the numbers being multiplied.’ We know that when two numbers are multiplied the result is called the product or the multiple of given numbers.
In 4th grade factors and multiples worksheet we will find the factors of a number by using multiplication method, find the even and odd numbers, find the prime numbers and composite numbers, find the prime factors, find the common factors, find the HCF(highest common factors
Examples on multiples on different types of questions on multiples are discussed here step-by-step. Every number is a multiple of itself. Every number is a multiple of 1. Every multiple of a number is either greater than or equal to the number. Product of two or more numbers
In worksheet on word problems on H.C.F. and L.C.M. we will find the greatest common factor of two or more numbers and the least common multiple of two or more numbers and their word problems. I. Find the highest common factor and least common multiple of the following pairs
Let us consider some of the word problems on l.c.m. (least common multiple). 1. Find the lowest number which is exactly divisible by 18 and 24. We find the L.C.M. of 18 and 24 to get the required number.
and Multiples by using Multiplication Facts
and Multiples by using Division Facts
● Properties of
● Examples on
● Factor Tree Method
● Properties of
● Examples on
● Even and Odd
and Odd Numbers Between 1 and 100
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! CommentsHave your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.