All The Multiples Of Three

Multiples of 3

Did you know the term "multiples" has a Latin origin and comes from the word "multiplex," where "multi" ways "many," and "plex" ways "fold?" Knowing the multiples of a number makes our calculations faster and easier. In this mini-lesson, nosotros will calculate the multiples of 3 and acquire interesting facts about these multiples.

First five multiples of 3: 3, 6, ix, 12, xv
Prime factorization of iii: 3 = 3¹

1.	What Are the Multiples of 3?
2.	Starting time xx Multiples of 3
iii.	Important Notes
4.	FAQs on Multiples of 3
5.	Tips and Tricks

What Are the Multiples of 3?

A multiple is a result of multiplying a number by an integer. Multiples of 3 are the products obtained when an integer is multiplied by 3.

For getting the multiples of iii, we demand to multiply 3 by i, 2, 3, 4, then on.

3 × one = 3
3 × 2 = 6
iii × iii = ix
3 × 4 = 12
three × 5 = xv

Every bit we list them down, we come across that in that location are infinite multiples of iii. Detect the multiples of iii represented on a number line.

Representation of Multiples of 3 on a Number Line

The multiples of 3 can exist odd numbers or even numbers. The odd multiples of 3 are 3, ix, 15, and then on, which are not divisible by 2, whereas, vi, 12, 18, and so on are the even multiples of iii, which are divisible past ii.

List of Starting time 20 Multiples of iii

Permit us write down the first xx multiples of three.

Multiplying 3 past integers

iii × i = 3
3 × ii = six
iii × 3 = 9
3 × iv = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
three × x = 30
3 × xi = 33
three × 12 = 36
3 × 13 = 39
3 × 14 = 42
3 × 15 = 45
3 × sixteen = 48
3 × 17 = 51
3 × 18 = 54
3 × xix = 57
3 × 20 = threescore

Did you observe that fifteen, thirty, 45, and 60 are also the multiples of five?

To understand the concept of finding multiples, let us take a few more examples.

Multiples of 30 - The starting time v multiples of 30 are 30, 60, 90, 120, 150
Multiples of 36 - The first five multiples of 36 are 36, 72, 108, 144, 180
Multiples of 13 - The commencement five multiples of 13 are xiii, 26, 39, 52, 65
Multiples of 7 - The first v multiples of 7 are 7, fourteen, 21, 28, 35
Multiples of 63 - The first 5 multiples of 63 are 63, 126, 189, 252, 315

Important Notes:

Multiples are what nosotros get after multiplying 2 numbers.
The number of multiples for a given number are infinite.
Every number is a multiple of itself.
A multiple of the given number is ever equal to or greater than the number.

Tips and Tricks:

Skip counting by 3 helps to find multiples of iii.
Memorize the table of iii to listing the multiples of 3.

Example ane: Tom's teacher told him to find the first 3 multiples of 5. Tin you help Tom in this work?

Solution:

Let u.s.a. multiply 5 with the kickoff 3 numbers ane, ii, and three.
- 5 × 1 = v
- five × 2 = ten
- five × iii = 15
Hence, the beginning iii multiples of 5 are 5, x, and 15.
Instance two: Selection all the odd multiples of iii from the given list.

3, 6, 9, 12, 15, 18, 21, 27

Solution:

Odd numbers are those which are non divisible past 2. The odd multiples in the list are iii, nine, 15, 21, 27.
Hence, odd multiples of 3 = 3, 9, 15, 21, 27
Example 3: Monica is given a listing of numbers divided into 4 groups. She needs to select the group which only has multiples of two. Can you proper name the group?

Grouping A: two, 3, 4

Group B: 2, 4, 6

Grouping C: 1, two, 3

Grouping D: 3, v, seven

Solution:

Group A has 2 even numbers and one odd number. Group B has but even numbers. Group C has 2 odd numbers and one even number.
Grouping D has only odd numbers.

Hence, the reply is Grouping B since all even numbers are the multiples of ii.

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FAQs on Multiples of 3

How many multiples does 3 have?

The number of multiples of whatsoever number is infinite. eg: 3, 6, ix, 12, 15, 18, etc.

Are the multiples of 3 always odd? Explain.

No, the multiples of iii are non always odd. For example half-dozen, 12, and 18 are even numbers and are multiples of 3. When 3 is multiplied by an fifty-fifty number, the product volition be an even number. When iii is multiplied by an odd number, the product volition be an odd number.

What is the sum of beginning five multiples of three?

The offset five multiples of 3 arethree, 6, 9, 12, and 15.
The sum of outset v multiples of three is iii + 6 + 9 + 12 + 15 = 45

Hence, the sum of first five multiples of 3 is 45.

What is the least common multiple of 3 and 9?

The least common multiple of two numbers can be calculated using the formula: product of the numbers/GCF of the numbers. Hither GCF(3,9) is the greatest common factors of iii and 9.

GCF (3, 9) = 3
LCM (3, 9) = (three × 9)/GCF(iii, nine) = 27/3 = ix

What are the start v multiples of three?

The first 5 multiples of 3 are 3, 6, 9, 12, and xv.