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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.

Explain the Properties of Multiples step-by-step 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?