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Multiples

What Are the Multiples of 2? | All Multiples of 2 up to 1000

Written by Prerit Jain

Updated on: 12 Aug 2023

What Are the Multiples of 2? | All Multiples of 2 up to 1000

What Are the Multiples of 2? | All Multiples of 2 up to 1000

Multiples of 2: To calculate the multiples of a number, we can use multiplication methods. For a number to be a multiple of any number, it has to be completely divisible by that number without leaving any remainder.

Let’s find out what are the multiples of 2, how to find the multiples of 2 using the two simple and easy methods, and the multiples list of 2 up to 100 with solved examples. Scroll down to find out more.

What Are the Multiples of 2?

The number 2 is the smallest and only even prime number. The multiples of 2 can be termed as the numbers that can be completely divided by 2 without leaving any remainder and a natural number as the quotient. The multiples of 2 can be written in the form of “np” where “n” is considered as the sequence of natural numbers and “p” is the number of which you need to find the multiples.

multiples of 2
First 10 multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20.

How to Calculate the Multiples of 2?

If you want to calculate the multiples of 2, there are two simple methods you can choose from. One is the multiplication method, where you have to simply multiply 2 by a series of natural numbers. The second one is the repeated addition method, where you need to perform a repeated addition of the number 2 to obtain the chart of multiples of 2. See the examples given below for the two methods to understand these methods:

Finding Multiples of 2 Using the Multiplication Method

To obtain the multiples of 2 using the multiplication method, simply multiply the number 2 with the sequence of natural numbers. For example, to obtain the first five multiples of 2, multiply 2 with 1, 2, 3, 4, and 5.

Example,
2 X 1= 2
2 X 2= 4
2 X 3= 6
2 X 4= 8
2 X 5= 10

Finding Multiples of 2 Using the Repeated Addition Method

To obtain the first five multiples of 2, i.e., for the numbers 1, 2, 3, 4, and 5, simply add 2 with 0 to obtain the first multiple of 2, then add 2 with 2 to obtain the second multiple, which will be 4, then add 2 with 4 to obtain the third multiple of 6, and so on. Alternatively, you can also add 2 with 0 = 2, then 2 times 2, which is 2 + 2 = 4, similarly 2 with 2 and 2, which is 2 + 2+ 2 = 6.

2 + 0= 2
2 + 2= 4
4 + 2= 6
6 + 2= 8
8 + 2= 10
2 + 0 = 2
2 + 2 = 4
2 + 2 + 2 =6
2 + 2 + 2 + 2 = 8
2 + 2 + 2 + 2 + 2 + 2 =10

How To Find the First 20 Multiples of 2?

The steps included in finding the first 20 multiples of 2 using the multiplication method are given below:

2×12
2×24
2×36
2×48
2×510
2×612
2×714
2×816
2×918
2×1020
2×1122
2×1224
2×1326
2×1428
2×1530
2×1632
2×1734
2×1836
2×1938
2×2040

Calculating Multiples of 2 Up to 1000

Here is a table of multiples of 2 up to 1000:

2468101214161820
22242628303234363840
42444648505254565860
62646668707274767880
828486889092949698100
102104106108110112114116118120
122124126128130132134136138140
142144146148150152154156158160
162164166168170172174176178180
182184186188190192194196198200
202204206208210212214216218220
222224226228230232234236238240
242244246248250252254256258260
262264266268270272274276278280
282284286288290292294296298300
302304306308310312314316318320
322324326328330332334336338340
342344346348350352354356358360
362364366368370372374376378380
382384386388390392394396398400
402404406408410412414416418420
422424426428430432434436438440
442444446448450452454456458460
462464466468470472474476478480
482484486488490492494496498500
502504506508510512514516518520
522524526528530532534536538540
542544546548550552554556558560
562564566568570572574576578580
582584586588590592594596598600
602604606608610612614616618620
622624626628630632634636638640
642644646648650652654656658660
662664666668670672674676678680
682684686688690692694696698700
702704706708710712714716718720
722724726728730732734736738740
742744746748750752754756758760
762764766768770772774776778780
782784786788790792794796798800
802804806808810812814816818820
822824826828830832834836838840
842844846848850852854856858860
862864866868870872874876878880
882884886888890892894896898900
902904906908910912914916918920
922924926928930932934936938940
942944946948950952954956958960
962964966968970972974976978980
9829849869889909929949969981000

Properties of Multiples of 2

Here are some properties of multiples of 2:

  • The smallest multiple of 2 is the number 2.
  • Each multiple of two is greater than or equal to the number 2.
  • All the multiples of 2 are even numbers.
  • As there are an infinite number of whole numbers that can be multiplied by 2, there are also an infinite number of multiples of 2.
  • The difference between two consecutive multiples of 2 is 2.

Solved Examples on Multiples of 2

Q 1: How to calculate the 12th multiple of 2?
A 1:
As we are calculating the 12th multiple of 2, let’s take 12 as “n”,
2 X n= 2n
2 X 12n= 24n
Therefore, the 12th multiple of 2 is 24.

Q 2: How do you find multiples of 2?
A 2:
You can find multiples of 2 either using two methods namely – Repeated Addition and Multiplication.
1. The Multiplication Method: Multiply the digits by 2 to determine multiples of that number.
Example:
2 X 1 = 2 ,
2 X 2 = 4,
2 X 3 = 6 etc.,
2. Repeated Addition: Also you can find multiples of 2 by performing repeated addition.
Example:
2 + 2 = 4,
4 + 2 = 6 etc.,.

Q 3: What are the multiples of 2 between 50 and 100?
A 3:
The multiples of 2 between 50 and 100 are;

5052
5456
5860
6264
6668
7072
7476
7880
8284
8688
9092
9496
98100

Q 4: If Mira eats 2 apples every day, then how many apples she will eat in the next 2 weeks?
A 4:
Apples eaten by Mira every day is 2.
So, in 2 weeks, which is 14 days, Mira will eat 14 X 2= 28 apples.

Q 5: There are how many two digits multiples of 2 up to 100?
A 5:
There are, in total, 44 two digits multiples of 2 and they are:

1012
1416
1820
2224
2628
3032
3436
3840
4244
4648
5052
5456
5860
6264
6668
7072
7476
7880
8284
8688
9092
9496
98

FAQs on Multiples of 2

What is the least common multiple of 2 and 3?
The first common multiple is termed the least or lowest common multiple between two numbers.
The first five multiples of 2 are 2, 4, 6, 8 and 10
The first five multiples of 3 are 3, 6, 9, 12, and 15. So, the least common multiple between 2 and 3 is 6 as it is the first common multiple between 2 and 3. Interestingly, 6 is the 3rd multiple of 2 and the 2nd multiple of 3.

Write all the multiples of 2.
As there are an infinite number of whole numbers that can be multiplied by 2, so there is also an infinite number of multiples of 2.

What is the least common multiple of 2 and 5?
The first common multiple is termed the least or lowest common multiple between two numbers.
The first five multiples of 2 are 2, 4, 6, 8, and 10.
The first five multiples of 5 are 5, 10, 15, 20, and 25. Therefore, the least common or the lowest common multiple between 2 and 5 is 10. Interestingly, 10 is the 5th multiple of 2 and the 2nd multiple of 5.

What is the least common multiple of 2 and 4?
The first common multiple is termed the least or lowest common multiple between two numbers.
The first five multiples of 2 are 2, 4, 6, 8, and 10.
The first five multiples of 4 are 4, 8, 12,16, and 20. Two common multiples can be found in the first five multiples of 2 and 4, but we need to find the least common multiple which will 4.

What are the multiples of 2?
The multiples of 2 can be termed as the numbers that can be completely divided by 2 without leaving any remainder and a natural number as the quotient.

We hope the above blog has helped in resolving your queries and has added some educational value to your life.

Written by

Prerit Jain

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