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November 21, 2024Composite Numbers are the ones that have more than two factors. So, let us explain this by taking an example – 20, twenty can be written as 20 = 1x2x2x5. So the number of factors of 20 is 4 which is more than two, hence we can call 20 as a Composite Numbers.
Another definition can be given as – “All Natural Numbers which are not Prime Numbers are Composite Numbers” as they can be divided by more than two numbers.
To check whether a number is composite or not you must know the divisibility of numbers or factorisation method. For example, 44, is a composite because it is divisible by 1, 2, 4, 11, 22, and 44.
Divisibility Method To Find Composite Number
44 ÷ 1 = 44 |
44 ÷ 2 = 22 |
44 ÷ 4 = 11 |
44 ÷ 11 = 4 |
44 ÷ 22 = 2 |
44 ÷ 44 = 1 |
Factorisation Method To Find Composite Number
44 x 1 = 44 |
22 x 2 = 44 |
11 x 4 = 44 |
4 x 11 = 44 |
2 x 22 = 44 |
1 x 44 = 44 |
Students often search for the complete list of numbers that are composite from 1 to 100, 1 to 200, 1 to 500, and 1 to 1000. In the next few sections, we have provided these so that our readers can get the list easily.
Composite Numbers List From 1 To 100 |
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100 |
Composite Numbers List From 101 To 200 |
102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 152, 154, 155, 156, 157, 158, 159, 160, 162, 164, 165, 166, 168, 170, 172, 174, 175, 176, 177, 178, 180, 182, 184, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, 198, 200. |
Composite Numbers List From 201 To 300 |
201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 224, 225, 226, 228, 230, 231, 232, 234, 235, 236, 237, 238, 240, 242, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 255, 256, 258, 259, 260, 261, 262, 264, 265, 266, 267, 268, 270, 272, 273, 274, 275, 276, 278, 279, 280, 282, 284, 285, 286, 287, 288, 289, 290, 291, 292, 294, 295, 296, 297, 298, 299, 300. |
Composite Numbers List From 301 To 500 |
301, 302, 303, 304, 305, 306, 308, 309, 310, 312, 314, 315, 316, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 332, 333, 334, 335, 336, 338, 339, 340, 341, 342, 343, 344, 345, 346, 348, 350, 351, 352, 354, 355, 356, 357, 358, 360, 361, 362, 363, 364, 365, 366, 368, 369, 370, 371, 372, 374, 375, 376, 377, 378, 380, 381, 382, 384, 385, 386, 387, 388, 390, 391, 392, 393, 394, 395, 396, 398, 399, 400, 402, 403, 404, 405, 406, 407, 408, 410, 411, 412, 413, 414, 415, 416, 417, 418, 420, 422, 423, 424, 425, 426, 427, 428, 429, 430, 432, 434, 435, 436, 437, 438, 440, 441, 442, 444, 445, 446, 447, 448, 450, 451, 452, 453, 454, 455, 456, 458, 459, 460, 462, 464, 465, 466, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 480, 481, 482, 483, 484, 485, 486, 488, 489, 490, 492, 493, 494, 495, 496, 497, 498, 500. |
Composite Numbers List From 501 To 1000 |
501, 502, 504, 505, 506, 507, 508, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 522, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 542, 543, 544, 545, 546, 548, 549, 550, 551, 552, 553, 554, 555, 556, 558, 559, 560, 561, 562, 564, 565, 566, 567, 568, 570, 572, 573, 574, 575, 576, 578, 579, 580, 581, 582, 583, 584, 585, 586, 588, 589, 590, 591, 592, 594, 595, 596, 597, 598, 600, 602, 603, 604, 605, 606, 608, 609, 610, 611, 612, 614, 615, 616, 618, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 632, 633, 634, 635, 636, 637, 638, 639, 640, 642, 644, 645, 646, 648, 649, 650, 651, 652, 654, 655, 656, 657, 658, 660, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 674, 675, 676, 678, 679, 680, 681, 682, 684, 685, 686, 687, 688, 689, 690, 692, 693, 694, 695, 696, 697, 698, 699, 700, 702, 703, 704, 705, 706, 707, 708, 710, 711, 712, 713, 714, 715, 716, 717, 718, 720, 721, 722, 723, 724, 725, 726, 728, 729, 730, 731, 732, 734, 735, 736, 737, 738, 740, 741, 742, 744, 745, 746, 747, 748, 749, 750, 752, 753, 754, 755, 756, 758, 759, 760, 762, 763, 764, 765, 766, 767, 768, 770, 771, 772, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 788, 789, 790, 791, 792, 793, 794, 795, 796, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 810, 812, 813, 814, 815, 816, 817, 818, 819, 820, 822, 824, 825, 826, 828, 830, 831, 832, 833, 834, 835, 836, 837, 838, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 854, 855, 856, 858, 860, 861, 862, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 878, 879, 880, 882, 884, 885, 886, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 908, 909, 910, 912, 913, 914, 915, 916, 917, 918, 920, 921, 922, 923, 924, 925, 926, 927, 928, 930, 931, 932, 933, 934, 935, 936, 938, 939, 940, 942, 943, 944, 945, 946, 948, 949, 950, 951, 952, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 968, 969, 970, 972, 973, 974, 975, 976, 978, 979, 980, 981, 982, 984, 985, 986, 987, 988, 989, 990, 992, 993, 994, 995, 996, 998, 999, 1000. |
There are only two types of Composite numbers:
Even Composite Numbers
Numbers having more than two factors that are divisible by 2 or has 2 as one of their factors are called Even Composite. Example: 4, 6, 8, 10, 12, 50, 444, 98989898.
Questions On Even Composite Numbers. Q1. Which of the following numbers are even composite: a) 23 b) 16 c) 24 d) 8 e) 235 Q2. State the definition of even composite numbers with 2 examples. Q3. Show by factorisation method that the below numbers are even composite: a) 44 b) 68 c) 24 d) 100 |
Odd Composite Numbers
Numbers with more than two factors that are not divisible by 2 or do not have 2 as one of their factors are called Odd Composite. Example: 9, 15, 21, 177, 207, 527, 777, 981.
Questions On Odd Composite Numbers. Q1. Which of the following numbers are odd composite: a) 23 b) 16 c) 21 d) 8 e) 235 Q2. State the definition of oven composite numbers with 2 examples. Q3. Show by factorisation method that the below numbers are odd composite: a) 27 b) 69 c) 125 d) 343 |
Now that you are well aware of what Composite Numbers are, now let us compare Composite and Prime Numbers:
Prime Numbers | Composite Numbers |
Can be divided by 1 and the number itself only – has only two factors. | Has more than two factors (1, itself, and other number/s). |
These numbers can be written as a product of 1 and themselves only. | These can be written as products of its factors. |
Eg: 2, 3, 5, 7, 11, 199, 997. | Eg: 4, 6, 15, 56, 355, 999. |
Often students wonder as to where they can check the answers while solving question-related to finding the prime factors of a composite number. Now you can check the details from the table below:
Composite Number | Prime Factors |
4 | 2 × 2 |
6 | 2 × 3 |
8 | 2 × 2 × 2 |
9 | 3 × 3 |
10 | 2 × 5 |
12 | 2 × 2 × 3 |
14 | 2 × 7 |
15 | 3 × 5 |
16 | 2 × 2 × 2 × 2 |
18 | 2 × 3 × 3 |
20 | 2 × 2 × 5 |
21 | 3 × 7 |
22 | 2 × 11 |
24 | 2 × 2 × 2 × 3 |
25 | 5 × 5 |
26 | 2 × 13 |
27 | 3 × 3 × 3 |
28 | 2 × 2 × 7 |
30 | 2 × 3 × 5 |
32 | 2 × 2 × 2 × 2 × 2 |
33 | 3 × 11 |
34 | 2 × 17 |
35 | 5 × 7 |
36 | 2 × 2 × 3 × 3 |
38 | 2 × 19 |
39 | 3 × 13 |
40 | 2 × 2 × 2 × 5 |
42 | 2 × 3 × 7 |
44 | 4 × 11 |
45 | 3 × 3 × 5 |
46 | 2 × 23 |
48 | 2 × 2 × 2 × 2 × 3 |
49 | 7 × 7 |
50 | 2 × 5 × 5 |
Check out some examples and problems on Composite Nos. below:
Ex 1. Which is the smallest Composite Number & why? Sol. The smallest Composite Numbers is 4 because 1 is neither prime nor composite and 2, 3 are prime number therefore the answer is 4. To prove this by we can find the factors of 4. 4 = 1x2x2. Number of factors = 3 i.e. >2. |
Ex 2. Is 5 a Composite Number? Sol. No, 5 is a Prime Numbers as it can only be divided by 1 and 5. |
Ex 3. What are the different types of Composite Number? Sol. There are only 2 types of Composite Numbers: 1. Even Composite – 6, 10, 24, etc. 2. Odd Composite – 21, 15, 9, etc. |
Ex 4. What are the composite numbers from 1 to 100? Sol. Composite Numbers between 1 to 100 are: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81,82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100. |
Ex 5. Is 17 Prime or Composite? Sol. 17 is Prime as it has only two factors – 1 and 17. |
Ex 6. Where to find Composite Numbers less than 20? Sol. Composite Nos. less than 20 are: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18. |
That was all the details on Composite Numbers. We hope you had fun along with learnings reading this article. However, if you have further questions don’t hesitate, just let us know through the comments section and we will provide you with an update.