MULTIPLES OF 2 WITH EXAMPLES AND FAQ

MULTIPLES OF 2

Any number that can be expressed in the form of 2p where p is an integer or a natural number, is a multiple of 2. For example, 2, 4, 6, 8, 10, 12, 14,  and 16 are some multiples of 2.

Definition of multiple

For example, 20 is a multiple of 2 as 20 = 2 × 10.

Here, 20 is also a multiple of 10. 

Note: Here b is multiple of a, whereas n and a are factors of b. With respect to the above example

2 and 10 are factors of 20. 

TABLE OF 2

 Hence, 2, 4, 6, 8, 10, 12…. and so on are the multiples.

Some useful identities of multiples of are:

• The first multiple of all numbers is the number itself, hence every number is a multiple of itself. For example, 2 x 1 = 22 is a multiple of itself.
• The multiples of a number is an infinite chain.
• the multiple of any number is either greater than or equal to the number itself.

For example,2 x 1 = 2 (2 = 2)

                     2 x 2 = 4 (4 > 2)

• Multiples of an even number are always even because the product of any number with an even number gives another even number.

EXAMPLES

Example 1: How many multiples of 2 are there in between 0 to 15?

Solution: We know the multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16,…

Hence the multiples between 0 to 15 are 2, 4, 6, 8,10, 12 and 14. Therefore, the number of multiples present between 0 and 15 are 7.

Example 2: Add the 12th multiple of 2 to its 20th multiple.

Solution:  The 12th multiple is 12 × 2 = 24

The 20th multiple is 20 × 2 = 40

Therefore, ( 12th multiple )  + ( 20th multiple ) = 24 + 40 = 64

Example 3: Fill in the series 24, 26, 28, __, 32, 34, __, 38, 40.

Solution:  We notice that the given series is of multiples of 2.

Hence the complete series is 24, 26, 28, 30, 32, 34, 36, 38, 40.