Multiples of 15

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The multiples of 15 are the numbers which are n-times of 15, where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. So, basically, multiples are n-times of any number, where n is the list of natural numbers. Thus, number 15 has multiples in the form of 15n, such that:

15 x 1 = 15
15 x 2 = 30
15 x 3 = 45
15 x 4 = 60

and so on.

Here is the list of all multiples:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, …

All numbers can be divided or the product of 15 is a multiple of 15. The multiples are different from the factors of 15. The factors are the numbers which when multiplied in a pair gives the original number such as 3 x 5 = 15, so here 3 and 5 are not the multiples but the factors. Multiples do not produce the original number instead they are divisible from the original number, for example, 45 ÷ 15 = 3.

What is a multiple of 15?

Any number that can be denoted in the form 15n where n is an integer is a multiple of 15. So if two values p and q, we say that q is a multiple of p if q = np for some integer n.

For example, 60, 45, 150 and 120 are all multiples of 15 for the following reasons

60	=	15	x	4
45	=	15	x	3
150	=	15	x	10
120	=	15	x	8

These values are called the multiples as these values are obtained by adding or subtracting the original value many times.

What is the fifth multiple of 15?

The fifth multiple of 15 could be found by multiplying 15 by 5, such that;

15 x 5 = 75

Thus, the fifth multiple of 15 is 75.

Multiples of 15 Chart

Here is the table of all the multiples of integer 15 from 1 to 20. Students can try writing the multiples till 100 by just multiplying 15 with natural numbers up to 100 to have practice.

Multiplication:	Multiples of 15
15 x 1	15
15 x 2	30
15 x 3	45
15 x 4	60
15 x 5	75
15 x 6	90
15 x 7	105
15 x 8	120
15 x 9	135
15 x 10	150
15 x 11	165
15 x 12	180
15 x 13	195
15 x 14	210
15 x 15	225
15 x 16	240
15 x 17	255
15 x 18	270
15 x 19	285
15 x 20	300

Facts about Multiples of 15

Some interesting facts about multiples of 15 are given below:

15 × z = multiple of 15; where z is an integer
Nth multiple of 15 = 15 × N
For example, 3rd multiple of 15 = 3 × 15 = 45
Multiple of 15 is always a multiple of 3 and 5 since 3 and 5 are the factors for the number 15
The common multiples of 3 and 5 are the multiples of 15

Also, check the multiples of some numbers given here.

The first ten multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
The first ten multiples of 20 are 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
The first ten multiples of 25 are 25, 50, 75, 100, 125, 150, 175, 200, 225, 250
The first ten multiples of 30 are 30, 60, 90, 120, 150, 180, 210, 240, 270, 300

Solved Examples on Multiples of 15

Question 1:

Dena visits the pool for swimming once every thirty days and Rachael once in fifteen days. If we assume that they go swimming on the first day of May, when will their next possible meet together at the pool?

Solution:

The common multiple of the numbers 15 and 30 are given below.

The multiples of 15 are 15, 30, 45,…..

The multiples of 30 are 30, 60, 90,…..

The multiples in common to 30 and 15 are 30, 60, 90, …..

The smallest common multiple of the numbers 30 and 15 is 30.

They visited the pool and swam together on the first day of May.

So, their next possible meet is 1 + 30 = 31 May

Question 2:

Reena can eat 15 candies in a day. Find the maximum number of candies that she could eat in 14 days.

Solution:

Number of candies that Reena can eat in a day = 15

The maximum number of candies that she could eat in 14 days = 14th multiple of 15

= 15 × 14

= 210