Multiples of 21

The multiples of 21 are 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, and so on — every number you get by multiplying 21 by a whole number. The list never ends.

Below you will find the full multiplication table for 21 up to 100×, the complete list of multiples up to 1,000, a calculator that checks any number for you, and the factors and patterns behind them.

Parity: Odd
Type: Composite
Factors: 4
Prime factors: 3 × 7
21 squared: 441
Multiples under 1,000: 47

Multiply 21 by anything

Type any whole number and the answer appears instantly.

Is a number a multiple of 21?

Divides the number by 21 and tells you whether it goes in exactly.

Multiples of 21 on a 100 chart

Every highlighted square below is a multiple of 21. Seeing them shaded in makes the spacing obvious: each one sits exactly 21 steps after the last.

The 4 multiples of 21 between 1 and 100.

Skip counting by 21

Counting in 21s is the fastest way to reach any multiple without multiplying. Each hop below adds another 21.

Skip counting from 0 in steps of 21.

Table of multiples of 21 (1 to 100)

The complete multiplication table for 21, from 21 × 1 to 21 × 100.

#	Expression	Result
1	21 × 1	21
2	21 × 2	42
3	21 × 3	63
4	21 × 4	84
5	21 × 5	105
6	21 × 6	126
7	21 × 7	147
8	21 × 8	168
9	21 × 9	189
10	21 × 10	210
11	21 × 11	231
12	21 × 12	252
13	21 × 13	273
14	21 × 14	294
15	21 × 15	315
16	21 × 16	336
17	21 × 17	357
18	21 × 18	378
19	21 × 19	399
20	21 × 20	420
21	21 × 21	441
22	21 × 22	462
23	21 × 23	483
24	21 × 24	504
25	21 × 25	525
26	21 × 26	546
27	21 × 27	567
28	21 × 28	588
29	21 × 29	609
30	21 × 30	630
31	21 × 31	651
32	21 × 32	672
33	21 × 33	693
34	21 × 34	714
35	21 × 35	735
36	21 × 36	756
37	21 × 37	777
38	21 × 38	798
39	21 × 39	819
40	21 × 40	840
41	21 × 41	861
42	21 × 42	882
43	21 × 43	903
44	21 × 44	924
45	21 × 45	945
46	21 × 46	966
47	21 × 47	987
48	21 × 48	1,008
49	21 × 49	1,029
50	21 × 50	1,050
51	21 × 51	1,071
52	21 × 52	1,092
53	21 × 53	1,113
54	21 × 54	1,134
55	21 × 55	1,155
56	21 × 56	1,176
57	21 × 57	1,197
58	21 × 58	1,218
59	21 × 59	1,239
60	21 × 60	1,260
61	21 × 61	1,281
62	21 × 62	1,302
63	21 × 63	1,323
64	21 × 64	1,344
65	21 × 65	1,365
66	21 × 66	1,386
67	21 × 67	1,407
68	21 × 68	1,428
69	21 × 69	1,449
70	21 × 70	1,470
71	21 × 71	1,491
72	21 × 72	1,512
73	21 × 73	1,533
74	21 × 74	1,554
75	21 × 75	1,575
76	21 × 76	1,596
77	21 × 77	1,617
78	21 × 78	1,638
79	21 × 79	1,659
80	21 × 80	1,680
81	21 × 81	1,701
82	21 × 82	1,722
83	21 × 83	1,743
84	21 × 84	1,764
85	21 × 85	1,785
86	21 × 86	1,806
87	21 × 87	1,827
88	21 × 88	1,848
89	21 × 89	1,869
90	21 × 90	1,890
91	21 × 91	1,911
92	21 × 92	1,932
93	21 × 93	1,953
94	21 × 94	1,974
95	21 × 95	1,995
96	21 × 96	2,016
97	21 × 97	2,037
98	21 × 98	2,058
99	21 × 99	2,079
100	21 × 100	2,100

Multiples of 21 up to 100

21, 42, 63, 84

There are 4 multiples of 21 between 1 and 100.

Multiples of 21 up to 1000

21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, 609, 630, 651, 672, 693, 714, 735, 756, 777, 798, 819, 840, 861, 882, 903, 924, 945, 966, 987

That is 47 multiples of 21 below 1,000, ending at 987.

Factors of 21

Factors are the mirror image of multiples: they divide into 21 exactly, rather than being built from it. The factors of 21 are 1, 3, 7, 21.

Each arc joins a pair of factors that multiply to 21.

Written as pairs: 1 × 21, 3 × 7.

Broken all the way down into primes, 21 = 3 × 7.

Common multiples of 21 and other numbers

The lowest common multiple (LCM) of two numbers is the smallest number that appears in both of their multiplication tables. Here is 21 paired with the numbers it is most often compared to.

Pair	LCM	Greatest common factor	Next common multiple
21 and 2	42	1	84
21 and 3	21	3	42
21 and 4	84	1	168
21 and 5	105	1	210
21 and 6	42	3	84

How to find the multiples of 21

Start at 21 and keep adding 21. That gives 21, 42, 63, 84, 105, and the pattern continues for as long as you want to go. Multiplying is simply a shortcut for the same thing: 21 × 7 = 147 saves you counting seven hops one at a time.

Patterns in the multiples of 21

Because 21 is odd, its multiples alternate between odd and even. That alternation is a quick way to sanity-check an answer before you write it down.

The last digits repeat in a cycle of 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, then back to the start. Spotting that cycle is a fast way to rule out a wrong answer.

Frequently asked questions

What are the multiples of 21?

The multiples of 21 are 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, and so on. Each one is 21 multiplied by a whole number, so the list continues without end.

What are the multiples of 21 up to 100?

There are 4 multiples of 21 between 1 and 100: 21, 42, 63, 84.

What are the multiples of 21 up to 1000?

There are 47 multiples of 21 below 1,000. They run from 21 up to 987.

What is the 10th multiple of 21?

The 10th multiple of 21 is 21 × 10 = 210.

What are the factors of 21?

The factors of 21 are 1, 3, 7, 21 — 4 in total. Factors divide into 21; multiples are built out of it.

Is 21 a prime number?

No. 21 is a composite number — it has 4 factors, and breaks down into 3 × 7.

What is the LCM of 21 and 2?

The lowest common multiple of 21 and 2 is 42. It is the first number that appears in both multiplication tables.