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.
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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.
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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.
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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
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