MULTIPLES OF 4 WITH EXAMPLES AND FAQ

MULTIPLES OF 4

Any number that can be expressed in the form of 4p where p is an integer or a natural number,  is a multiple of 4.

For example, 4, 8, 12, 32, 44 and 56 are some multiples of 4.

Definition of multiple

For example, 20 is a multiple of 5 as 20 = 5 × 4.

Here, 20 is also a multiple of 4. 

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

4 and 5 are factors of 20. 

TABLE OF 4

 Hence, 4,8,12,16,20,24…. 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, 4×1 = 44 is a multiple of itself.
• The multiple of a number is an infinite chain.
• the multiple of a number is either greater than or equal to the number itself.

For example, 4×1 = 4(4 = 4)

                      4×2 = 8(8 > 4)

• 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 4 are there in between 0 to 30?

Solution: We know the multiples of 4 are 4,8,12,16,20,24,28,32,36,40… and so on.

Hence the multiples between 0 to 30 are 4,8,12,16,20,24,28.Therefore, the number of multiples present between 0 and 30 are 7.

Example 2: Subtract the 8th multiple of 4 from its 13th multiple.

Solution:  The 8th multiple is 8 × 4 = 32

The 13th multiple is 13 x 4 = 52

Therefore, (13th multiple of 4) – (8th multiple of 4) = 52-32 = 20