Multiples of 31

The multiples of 31 are 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, and so on — every number you get by multiplying 31 by a whole number. The list never ends.

Below you will find the full multiplication table for 31 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: Prime
Factors: 2
Prime factors: 31
31 squared: 961
Multiples under 1,000: 32

Multiply 31 by anything

Type any whole number and the answer appears instantly.

Is a number a multiple of 31?

Divides the number by 31 and tells you whether it goes in exactly.

Multiples of 31 on a 100 chart

Every highlighted square below is a multiple of 31. Seeing them shaded in makes the spacing obvious: each one sits exactly 31 steps after the last.

The 3 multiples of 31 between 1 and 100.

Skip counting by 31

Counting in 31s is the fastest way to reach any multiple without multiplying. Each hop below adds another 31.

Skip counting from 0 in steps of 31.

Table of multiples of 31 (1 to 100)

The complete multiplication table for 31, from 31 × 1 to 31 × 100.

#	Expression	Result
1	31 × 1	31
2	31 × 2	62
3	31 × 3	93
4	31 × 4	124
5	31 × 5	155
6	31 × 6	186
7	31 × 7	217
8	31 × 8	248
9	31 × 9	279
10	31 × 10	310
11	31 × 11	341
12	31 × 12	372
13	31 × 13	403
14	31 × 14	434
15	31 × 15	465
16	31 × 16	496
17	31 × 17	527
18	31 × 18	558
19	31 × 19	589
20	31 × 20	620
21	31 × 21	651
22	31 × 22	682
23	31 × 23	713
24	31 × 24	744
25	31 × 25	775
26	31 × 26	806
27	31 × 27	837
28	31 × 28	868
29	31 × 29	899
30	31 × 30	930
31	31 × 31	961
32	31 × 32	992
33	31 × 33	1,023
34	31 × 34	1,054
35	31 × 35	1,085
36	31 × 36	1,116
37	31 × 37	1,147
38	31 × 38	1,178
39	31 × 39	1,209
40	31 × 40	1,240
41	31 × 41	1,271
42	31 × 42	1,302
43	31 × 43	1,333
44	31 × 44	1,364
45	31 × 45	1,395
46	31 × 46	1,426
47	31 × 47	1,457
48	31 × 48	1,488
49	31 × 49	1,519
50	31 × 50	1,550
51	31 × 51	1,581
52	31 × 52	1,612
53	31 × 53	1,643
54	31 × 54	1,674
55	31 × 55	1,705
56	31 × 56	1,736
57	31 × 57	1,767
58	31 × 58	1,798
59	31 × 59	1,829
60	31 × 60	1,860
61	31 × 61	1,891
62	31 × 62	1,922
63	31 × 63	1,953
64	31 × 64	1,984
65	31 × 65	2,015
66	31 × 66	2,046
67	31 × 67	2,077
68	31 × 68	2,108
69	31 × 69	2,139
70	31 × 70	2,170
71	31 × 71	2,201
72	31 × 72	2,232
73	31 × 73	2,263
74	31 × 74	2,294
75	31 × 75	2,325
76	31 × 76	2,356
77	31 × 77	2,387
78	31 × 78	2,418
79	31 × 79	2,449
80	31 × 80	2,480
81	31 × 81	2,511
82	31 × 82	2,542
83	31 × 83	2,573
84	31 × 84	2,604
85	31 × 85	2,635
86	31 × 86	2,666
87	31 × 87	2,697
88	31 × 88	2,728
89	31 × 89	2,759
90	31 × 90	2,790
91	31 × 91	2,821
92	31 × 92	2,852
93	31 × 93	2,883
94	31 × 94	2,914
95	31 × 95	2,945
96	31 × 96	2,976
97	31 × 97	3,007
98	31 × 98	3,038
99	31 × 99	3,069
100	31 × 100	3,100

Multiples of 31 up to 100

31, 62, 93

There are 3 multiples of 31 between 1 and 100.

Multiples of 31 up to 1000

31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899, 930, 961, 992

That is 32 multiples of 31 below 1,000, ending at 992.

Factors of 31

Factors are the mirror image of multiples: they divide into 31 exactly, rather than being built from it. The factors of 31 are 1, 31.

Each arc joins a pair of factors that multiply to 31.

Written as pairs: 1 × 31.

Broken all the way down into primes, 31 = 31. Because it has no factors other than 1 and itself, 31 is a prime number.

Common multiples of 31 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 31 paired with the numbers it is most often compared to.

Pair	LCM	Greatest common factor	Next common multiple
31 and 2	62	1	124
31 and 3	93	1	186
31 and 4	124	1	248
31 and 5	155	1	310
31 and 6	186	1	372

How to find the multiples of 31

Start at 31 and keep adding 31. That gives 31, 62, 93, 124, 155, and the pattern continues for as long as you want to go. Multiplying is simply a shortcut for the same thing: 31 × 7 = 217 saves you counting seven hops one at a time.

Patterns in the multiples of 31

Because 31 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 31?

The multiples of 31 are 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, and so on. Each one is 31 multiplied by a whole number, so the list continues without end.

What are the multiples of 31 up to 100?

There are 3 multiples of 31 between 1 and 100: 31, 62, 93.

What are the multiples of 31 up to 1000?

There are 32 multiples of 31 below 1,000. They run from 31 up to 992.

What is the 10th multiple of 31?

The 10th multiple of 31 is 31 × 10 = 310.

What are the factors of 31?

The factors of 31 are 1, 31 — 2 in total. Factors divide into 31; multiples are built out of it.

Is 31 a prime number?

Yes. 31 is prime, because its only factors are 1 and 31 itself.

What is the LCM of 31 and 2?

The lowest common multiple of 31 and 2 is 62. It is the first number that appears in both multiplication tables.