Properties of Multiples

The properties of multiples are discussed step-by-step 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.

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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