Properties of Multiples
The properties of multiples are discussed stepbystep according to its property.
Property (1):
Every number is a multiple of 1.
As: 7 x 1 = 7,
9 x 1 = 9,
15 x 1 = 15,
40 x 1 = 40
Property (2):
Every number is the multiple of itself.
As: 1 x 7 = 7,
1 x 21 = 21,
1 x 105 = 105,
1 x 212 = 212
For example, 8 × 1 = 8. Hence, 8 is multiple of itself. 19 ×
1 = 19. So, 19 is multiple of itself.
Property (3):
Zero (0) is a multiple of every number.
As: 0 x 9 = 0,
0 x 11 = 0,
0 x 57 = 0,
0 x 275 = 0
Property (4):
Every multiple except zero is either equal to or greater than any of its factors.
As, multiple of 7 = 7, 14, 28, 35, 77, …………., etc.
For example, multiples of 4 are 4, 8, 12, 16. We find that
every multiple of 4 is either greater or equal to 4.
Property (5):
The product of two or more factors is the multiple of each factor.
As: 3 x 7 = 21,
So, 21 is the multiple of both 3 and 7.
30 = 2 x 3 x 5,
So, 30 is the multiple of 2, 3 and 5.
For example, the product of 3 × 4 × 5 is 60 and 60 is also a
multiple of 3, 4 and 5.
Property (6):
There is no end to multiples of a number.
As: 5, 10, 15, 20, 25, …………….., 100, 105, 110, …………………., are the multiples of 5.
These are the properties of multiples.
Explain the Properties of Multiples stepbystep with examples.
Observe the following:
12 × 1 = 12;
18 × 1 = 18;
25 × 1 = 25;
12 × 1 = 12 implies 12 is of 12 and 12 is a multiple of 1.
18 × 1 = 18 implies 18 is a multiple of 18 and 18 is a multiple of 1.
25 × 1 = 25 implies 25 is a multiple of 25 and 25 is a multiple of 1.
What do we conclude?
We conclude,
● Every number is a multiple of itself.
● Every number is a multiple of 1.
Again, observe the following:
Multiples of 5 are 5, 10, 15, 20, ...
Multiple of 12 are 12, 24, 36, 48, ...
Multiple of 18 are 18, 36, 54, 72, ...
What do we observe?
We see that every multiple of 5 is either greater than or equal to 5.
Similarly, every multiple of 12 is either greater than or equal to 12.
Every multiple of 18 is either greater than or equal to 18.
Hence, we can say that
● Every multiple of a number is either greater than or equal to the number.
You might like these
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 from left most place until we come across unequal digits. To learn
Dividing 3Digit by 1Digit Numbers are discussed here stepbystep. How to divide 3digit numbers by singledigit numbers? Let us follow the examples to learn to divide 3digit number by onedigit number. I: Dividing 3digit Number by 1Digit Number without Remainder:
In 4th grade mental math on factors and multiples students can practice different questions on prime numbers, properties of prime numbers, factors, properties of factors, even numbers, odd numbers, prime numbers, composite numbers, tests for divisibility, prime factorization
Practice the questions given in the worksheet on factors and multiples. 1. Find out the even numbers. 27, 36, 48, 125, 360, 453, 518, 423, 54, 58, 917, 186, 423, 928, 358 2. Find out the odd numbers.
We will discuss here about the method of l.c.m. (least common multiple). Let us consider the numbers 8, 12 and 16. Multiples of 8 are → 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ......
Practice the questions given in the worksheet on hcf (highest common factor) by factorization method, prime factorization method and division method. Find the common factors of the following numbers. (i) 6 and 8 (ii) 9 and 15 (iii) 16 and 18 (iv) 16 and 28
Practice the questions given in the worksheet on methods of prime factorization. 1. Each of the following is the prime factorization of a certain number. Find the number. (i) 2 × 5 × 7
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.
Factors of a number are discussed here so that students can understand the factors of the product. What are factors? (i) If a dividend, when divided by a divisor, is divided completely
In prime factorization, we factorise the numbers into prime numbers, called prime factors. There are two methods of prime factorization: 1. Division Method 2. Factor Tree Method
All the even and odd numbers between 1 and 100 are discussed here. What are the even numbers from 1 to 100? The even numbers from 1 to 100 are:
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 Every whole number is the product of 1 and itself so Each number is a factor of itself.
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 division by twodigit numbers we will practice dividing two, three, four and five digits by twodigit numbers. Consider the following examples on division by twodigit numbers: Let us use our knowledge of estimation to find the actual quotient. 1. Divide 94 by 12
In 4th grade mental math on division, students can practice different questions on terms related to division, division of 2digit number by 1digit number, division of 3digit number by 1digit number, division of 4digit number by 1digit number, properties of division
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 Multiples 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.
Share this page:
What’s this?


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.