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
● Factors
● Even and Odd Numbers Between 1 and 100
● Examples on Even and Odd Numbers
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