Multiples
What Are the Multiples of 2? | All Multiples of 2 up to 1000
Written by Prerit Jain
Updated on: 12 Aug 2023
Contents
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.
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:
2×1 | 2 |
2×2 | 4 |
2×3 | 6 |
2×4 | 8 |
2×5 | 10 |
2×6 | 12 |
2×7 | 14 |
2×8 | 16 |
2×9 | 18 |
2×10 | 20 |
2×11 | 22 |
2×12 | 24 |
2×13 | 26 |
2×14 | 28 |
2×15 | 30 |
2×16 | 32 |
2×17 | 34 |
2×18 | 36 |
2×19 | 38 |
2×20 | 40 |
Calculating Multiples of 2 Up to 1000
Here is a table of multiples of 2 up to 1000:
2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
22 | 24 | 26 | 28 | 30 | 32 | 34 | 36 | 38 | 40 |
42 | 44 | 46 | 48 | 50 | 52 | 54 | 56 | 58 | 60 |
62 | 64 | 66 | 68 | 70 | 72 | 74 | 76 | 78 | 80 |
82 | 84 | 86 | 88 | 90 | 92 | 94 | 96 | 98 | 100 |
102 | 104 | 106 | 108 | 110 | 112 | 114 | 116 | 118 | 120 |
122 | 124 | 126 | 128 | 130 | 132 | 134 | 136 | 138 | 140 |
142 | 144 | 146 | 148 | 150 | 152 | 154 | 156 | 158 | 160 |
162 | 164 | 166 | 168 | 170 | 172 | 174 | 176 | 178 | 180 |
182 | 184 | 186 | 188 | 190 | 192 | 194 | 196 | 198 | 200 |
202 | 204 | 206 | 208 | 210 | 212 | 214 | 216 | 218 | 220 |
222 | 224 | 226 | 228 | 230 | 232 | 234 | 236 | 238 | 240 |
242 | 244 | 246 | 248 | 250 | 252 | 254 | 256 | 258 | 260 |
262 | 264 | 266 | 268 | 270 | 272 | 274 | 276 | 278 | 280 |
282 | 284 | 286 | 288 | 290 | 292 | 294 | 296 | 298 | 300 |
302 | 304 | 306 | 308 | 310 | 312 | 314 | 316 | 318 | 320 |
322 | 324 | 326 | 328 | 330 | 332 | 334 | 336 | 338 | 340 |
342 | 344 | 346 | 348 | 350 | 352 | 354 | 356 | 358 | 360 |
362 | 364 | 366 | 368 | 370 | 372 | 374 | 376 | 378 | 380 |
382 | 384 | 386 | 388 | 390 | 392 | 394 | 396 | 398 | 400 |
402 | 404 | 406 | 408 | 410 | 412 | 414 | 416 | 418 | 420 |
422 | 424 | 426 | 428 | 430 | 432 | 434 | 436 | 438 | 440 |
442 | 444 | 446 | 448 | 450 | 452 | 454 | 456 | 458 | 460 |
462 | 464 | 466 | 468 | 470 | 472 | 474 | 476 | 478 | 480 |
482 | 484 | 486 | 488 | 490 | 492 | 494 | 496 | 498 | 500 |
502 | 504 | 506 | 508 | 510 | 512 | 514 | 516 | 518 | 520 |
522 | 524 | 526 | 528 | 530 | 532 | 534 | 536 | 538 | 540 |
542 | 544 | 546 | 548 | 550 | 552 | 554 | 556 | 558 | 560 |
562 | 564 | 566 | 568 | 570 | 572 | 574 | 576 | 578 | 580 |
582 | 584 | 586 | 588 | 590 | 592 | 594 | 596 | 598 | 600 |
602 | 604 | 606 | 608 | 610 | 612 | 614 | 616 | 618 | 620 |
622 | 624 | 626 | 628 | 630 | 632 | 634 | 636 | 638 | 640 |
642 | 644 | 646 | 648 | 650 | 652 | 654 | 656 | 658 | 660 |
662 | 664 | 666 | 668 | 670 | 672 | 674 | 676 | 678 | 680 |
682 | 684 | 686 | 688 | 690 | 692 | 694 | 696 | 698 | 700 |
702 | 704 | 706 | 708 | 710 | 712 | 714 | 716 | 718 | 720 |
722 | 724 | 726 | 728 | 730 | 732 | 734 | 736 | 738 | 740 |
742 | 744 | 746 | 748 | 750 | 752 | 754 | 756 | 758 | 760 |
762 | 764 | 766 | 768 | 770 | 772 | 774 | 776 | 778 | 780 |
782 | 784 | 786 | 788 | 790 | 792 | 794 | 796 | 798 | 800 |
802 | 804 | 806 | 808 | 810 | 812 | 814 | 816 | 818 | 820 |
822 | 824 | 826 | 828 | 830 | 832 | 834 | 836 | 838 | 840 |
842 | 844 | 846 | 848 | 850 | 852 | 854 | 856 | 858 | 860 |
862 | 864 | 866 | 868 | 870 | 872 | 874 | 876 | 878 | 880 |
882 | 884 | 886 | 888 | 890 | 892 | 894 | 896 | 898 | 900 |
902 | 904 | 906 | 908 | 910 | 912 | 914 | 916 | 918 | 920 |
922 | 924 | 926 | 928 | 930 | 932 | 934 | 936 | 938 | 940 |
942 | 944 | 946 | 948 | 950 | 952 | 954 | 956 | 958 | 960 |
962 | 964 | 966 | 968 | 970 | 972 | 974 | 976 | 978 | 980 |
982 | 984 | 986 | 988 | 990 | 992 | 994 | 996 | 998 | 1000 |
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;
50 | 52 |
54 | 56 |
58 | 60 |
62 | 64 |
66 | 68 |
70 | 72 |
74 | 76 |
78 | 80 |
82 | 84 |
86 | 88 |
90 | 92 |
94 | 96 |
98 | 100 |
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:
10 | 12 |
14 | 16 |
18 | 20 |
22 | 24 |
26 | 28 |
30 | 32 |
34 | 36 |
38 | 40 |
42 | 44 |
46 | 48 |
50 | 52 |
54 | 56 |
58 | 60 |
62 | 64 |
66 | 68 |
70 | 72 |
74 | 76 |
78 | 80 |
82 | 84 |
86 | 88 |
90 | 92 |
94 | 96 |
98 |
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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