MULTIPLES OF 6 WITH EXAMPLES AND FAQ

MULTIPLES OF 6

Any number that can be expressed in the form of 6p where p is an integer or a natural number,  is a multiple of 6. For example, 6, 12, 18, 24, 30 and 36 are some multiples of 6.

Definition of multiple

For example, 42 is a multiple of 6 as 42 = 6 × 7. 

Here, 42 is also a multiple of 7. 

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

6 and 7 are factors of 42. 

TABLE OF 6

 Hence,6,12,18, 24, 30, 36… and so on are the multiples.

Some useful identities of multiples are:

• The first multiple of all numbers is the number itself, hence every number is a multiple of itself. For example, 6×1 = 66 is a multiple of itself. It is also the smallest multiple.
• The multiples of a number is an infinite chain.
• the multiple of a number is either greater than or equal to the number itself.

For example, 6×1 = 6(6 = 6)

                      6×2 = 12(12 > 6)

• 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: Calculate the sum of the 5th and 7th multiples of 6.

Solution: The 5th multiple is 5×6 = 30

The 7th multiple is 7×6 = 42

∴30 + 42 = 72 is the sum of 6’s 5th and 7th multiples.

Example 2: Ritika decides to fill a box of chocolates such that each box contains only 6 of them. How many chocolates should she purchase to fill 25 such boxes?

Solution: Given that in one box 6 chocolates fit in.

∴to fill n number of boxes, she needs (n × 6) chocolates.

Here she has 25 boxes hence Ritika needs    25 × 6 = 150 chocolates.

Example 3: Rohan is playing a game in which for every 6 levels crossed he will be rewarded with a bonus. If Rohan has received 5 bonuses in one day, then how many levels did he complete?

Solution: Given that for every 6 levels a bonus is rewarded and Rohan has received 5 such bonuses.

Hence Rohan cleared    5 x 6 = 30   levels on that day.