36 Multiplication Chart

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Multiplication chart 1 to 36

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Multiplication chart 1 to 36. Each square holds its row number times its column number.
×	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36
1	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36
2	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
3	3	6	9	12	15	18	21	24	27	30	33	36	39	42	45	48	51	54	57	60	63	66	69	72	75	78	81	84	87	90	93	96	99	102	105	108
4	4	8	12	16	20	24	28	32	36	40	44	48	52	56	60	64	68	72	76	80	84	88	92	96	100	104	108	112	116	120	124	128	132	136	140	144
5	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80	85	90	95	100	105	110	115	120	125	130	135	140	145	150	155	160	165	170	175	180
6	6	12	18	24	30	36	42	48	54	60	66	72	78	84	90	96	102	108	114	120	126	132	138	144	150	156	162	168	174	180	186	192	198	204	210	216
7	7	14	21	28	35	42	49	56	63	70	77	84	91	98	105	112	119	126	133	140	147	154	161	168	175	182	189	196	203	210	217	224	231	238	245	252
8	8	16	24	32	40	48	56	64	72	80	88	96	104	112	120	128	136	144	152	160	168	176	184	192	200	208	216	224	232	240	248	256	264	272	280	288
9	9	18	27	36	45	54	63	72	81	90	99	108	117	126	135	144	153	162	171	180	189	198	207	216	225	234	243	252	261	270	279	288	297	306	315	324
10	10	20	30	40	50	60	70	80	90	100	110	120	130	140	150	160	170	180	190	200	210	220	230	240	250	260	270	280	290	300	310	320	330	340	350	360
11	11	22	33	44	55	66	77	88	99	110	121	132	143	154	165	176	187	198	209	220	231	242	253	264	275	286	297	308	319	330	341	352	363	374	385	396
12	12	24	36	48	60	72	84	96	108	120	132	144	156	168	180	192	204	216	228	240	252	264	276	288	300	312	324	336	348	360	372	384	396	408	420	432
13	13	26	39	52	65	78	91	104	117	130	143	156	169	182	195	208	221	234	247	260	273	286	299	312	325	338	351	364	377	390	403	416	429	442	455	468
14	14	28	42	56	70	84	98	112	126	140	154	168	182	196	210	224	238	252	266	280	294	308	322	336	350	364	378	392	406	420	434	448	462	476	490	504
15	15	30	45	60	75	90	105	120	135	150	165	180	195	210	225	240	255	270	285	300	315	330	345	360	375	390	405	420	435	450	465	480	495	510	525	540
16	16	32	48	64	80	96	112	128	144	160	176	192	208	224	240	256	272	288	304	320	336	352	368	384	400	416	432	448	464	480	496	512	528	544	560	576
17	17	34	51	68	85	102	119	136	153	170	187	204	221	238	255	272	289	306	323	340	357	374	391	408	425	442	459	476	493	510	527	544	561	578	595	612
18	18	36	54	72	90	108	126	144	162	180	198	216	234	252	270	288	306	324	342	360	378	396	414	432	450	468	486	504	522	540	558	576	594	612	630	648
19	19	38	57	76	95	114	133	152	171	190	209	228	247	266	285	304	323	342	361	380	399	418	437	456	475	494	513	532	551	570	589	608	627	646	665	684
20	20	40	60	80	100	120	140	160	180	200	220	240	260	280	300	320	340	360	380	400	420	440	460	480	500	520	540	560	580	600	620	640	660	680	700	720
21	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
22	22	44	66	88	110	132	154	176	198	220	242	264	286	308	330	352	374	396	418	440	462	484	506	528	550	572	594	616	638	660	682	704	726	748	770	792
23	23	46	69	92	115	138	161	184	207	230	253	276	299	322	345	368	391	414	437	460	483	506	529	552	575	598	621	644	667	690	713	736	759	782	805	828
24	24	48	72	96	120	144	168	192	216	240	264	288	312	336	360	384	408	432	456	480	504	528	552	576	600	624	648	672	696	720	744	768	792	816	840	864
25	25	50	75	100	125	150	175	200	225	250	275	300	325	350	375	400	425	450	475	500	525	550	575	600	625	650	675	700	725	750	775	800	825	850	875	900
26	26	52	78	104	130	156	182	208	234	260	286	312	338	364	390	416	442	468	494	520	546	572	598	624	650	676	702	728	754	780	806	832	858	884	910	936
27	27	54	81	108	135	162	189	216	243	270	297	324	351	378	405	432	459	486	513	540	567	594	621	648	675	702	729	756	783	810	837	864	891	918	945	972
28	28	56	84	112	140	168	196	224	252	280	308	336	364	392	420	448	476	504	532	560	588	616	644	672	700	728	756	784	812	840	868	896	924	952	980	1008
29	29	58	87	116	145	174	203	232	261	290	319	348	377	406	435	464	493	522	551	580	609	638	667	696	725	754	783	812	841	870	899	928	957	986	1015	1044
30	30	60	90	120	150	180	210	240	270	300	330	360	390	420	450	480	510	540	570	600	630	660	690	720	750	780	810	840	870	900	930	960	990	1020	1050	1080
31	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	1023	1054	1085	1116
32	32	64	96	128	160	192	224	256	288	320	352	384	416	448	480	512	544	576	608	640	672	704	736	768	800	832	864	896	928	960	992	1024	1056	1088	1120	1152
33	33	66	99	132	165	198	231	264	297	330	363	396	429	462	495	528	561	594	627	660	693	726	759	792	825	858	891	924	957	990	1023	1056	1089	1122	1155	1188
34	34	68	102	136	170	204	238	272	306	340	374	408	442	476	510	544	578	612	646	680	714	748	782	816	850	884	918	952	986	1020	1054	1088	1122	1156	1190	1224
35	35	70	105	140	175	210	245	280	315	350	385	420	455	490	525	560	595	630	665	700	735	770	805	840	875	910	945	980	1015	1050	1085	1120	1155	1190	1225	1260
36	36	72	108	144	180	216	252	288	324	360	396	432	468	504	540	576	612	648	684	720	756	792	828	864	900	936	972	1008	1044	1080	1116	1152	1188	1224	1260	1296

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The 36 times table, from 36 × 1 to 36 × 36

Multiplication chart 1 to 36.

Next step Next size up: the 1-40 chart Go back over the 6 times table

How it works

This 36 multiplication chart shows every fact from 1 × 1 to 36 × 36 = 1,296. A yard is 36 inches, so the tinted 36 row turns yards into inches: 36 × 5 = 180 means 5 yards is 180 inches.

Read the full guide

Six square numbers in the tinted row

36 is 6 × 6, and a square number times a square number is a square number again. So the 36 row holds six of them, at its 1st, 4th, 9th, 16th, 25th and 36th squares: 36, 144, 324, 576, 900 and 1,296. Each one also sits on the framed diagonal.

A chart the shape of a square yard

A multiplication chart of 36 rows and 36 columns has 1,296 squares. Draw each one 1 inch wide and the grid is 1 yard on every side, which is why a square yard is 1,296 square inches. They hold only 423 different answers. 60, 72, 120 and 180 fill 10 squares each, more than any other.

To multiply by 36, multiply by 6 and then by 6 again: 7 × 6 = 42 and 42 × 6 = 252, so 36 × 7 = 252.
Every fourth answer in the 36 row is a multiple of 144, a gross: 36 × 4 = 144, 36 × 8 = 288, 36 × 12 = 432.
Roll two dice and multiply them. Every answer you can get sits in the top left corner, rows and columns 1 to 6: 36 squares.

Questions and answers

How do I change yards to inches with the chart?

Find the number of yards along the top and read down to the tinted 36 row. Under 7 is 252, so 7 yards is 252 inches. Going the other way, 432 sits under 12, so 432 inches is 12 yards.

Why does 36 fill 9 squares and not 10?

Because 6 × 6 is its own turnaround, so it fills 1 square where other facts fill 2. Add 2 squares each for 1 × 36, 2 × 18, 3 × 12 and 4 × 9 and you get 9.

How many facts are on the chart?

Count a fact and its turnaround once and there are 666. Each row adds as many new facts as its number: row 1 adds 1, row 2 adds 2, and row 36 adds 36. The total is 1 + 2 + 3 and on up to 36.

All 36 facts

36 × 1 to 36 × 10 10

36 × 1 = 36 A yard is 36 inches, so this row turns yards into inches. 36 is 6 × 6 as well, and two dice can land 36 ways.
36 × 2 = 72 2 yards is 72 inches. With the turnarounds 72 fills 10 squares, and no answer on this chart fills more.
36 × 3 = 108 3 yards is 108 inches.
36 × 4 = 144 A dozen dozens, which is called a gross. 4 yards is 144 inches.
36 × 5 = 180 180 degrees is half of a full turn. 180 fills 10 squares too, a tie for the most here.
36 × 6 = 216 Multiply by 6, then by 6 again: 6 × 6 = 36, and 36 × 6 = 216.
36 × 7 = 252 36 weeks of 7 days is 252 days.
36 × 8 = 288 Two gross: double 144.
36 × 9 = 324 9 forties are 360; take away 9 fours (36) and 324 is left. 324 is 18 × 18 as well.
36 × 10 = 360 A full turn is 360 degrees.

Show all 36 facts (26 more)

36 × 11 to 36 × 20 10

36 × 11 = 396
36 × 12 = 432 36 dozen, or 3 gross.
36 × 13 = 468
36 × 14 = 504
36 × 15 = 540 Halve one number and double the other: 36 × 15 turns into 18 × 30, which is 540.
36 × 16 = 576 4 gross. 576 is 24 × 24 as well, a square number.
36 × 17 = 612
36 × 18 = 648 Half of 1296, the corner square.
36 × 19 = 684
36 × 20 = 720 720 is what you get by multiplying the numbers 1 to 6 together. 20 yards is 720 inches.

36 × 21 to 36 × 30 10

36 × 21 = 756
36 × 22 = 792 A cricket pitch is 22 yards long, and that is 792 inches.
36 × 23 = 828
36 × 24 = 864 36 days of 24 hours is 864 hours.
36 × 25 = 900 25 is a quarter of 100, so take a quarter of 3600 to get 900, which is 30 × 30 as well.
36 × 26 = 936
36 × 27 = 972 Multiply 27 by 6 to get 162, then by 6 again to get 972.
36 × 28 = 1008
36 × 29 = 1044
36 × 30 = 1080 30 yards is 1080 inches.

36 × 31 to 36 × 36 6

36 × 31 = 1116
36 × 32 = 1152 8 gross: 144 eight times over.
36 × 33 = 1188
36 × 34 = 1224
36 × 35 = 1260
36 × 36 = 1296 Four 6s multiplied together. A square that is 1 yard on each side holds 1296 square inches.

How this list was compiled: Own work. Every product was worked out twice on 2026-09-19 (multiplication, then repeated addition), and the other places where each answer sits on a 36 by 36 chart were listed in the same check and checked against every note, as was every sum written in a note. Units and facts in the notes checked on 2026-09-19: a yard is 3 feet or 36 inches, https://en.wikipedia.org/wiki/Yard ; a cricket pitch is 22 yards long, https://en.wikipedia.org/wiki/Chain_%28unit%29 ; 12 inches in a foot, https://en.wikipedia.org/wiki/Foot_%28unit%29 ; 36 is the square of 6 and the number of ways two dice can land, https://en.wikipedia.org/wiki/36_%28number%29 ; a dozen is 12 and a gross is 144, https://en.wikipedia.org/wiki/Dozen ; a full turn is 360 degrees, https://en.wikipedia.org/wiki/Degree_%28angle%29 ; a week is 7 days, https://en.wikipedia.org/wiki/Week ; 24 hours in a day, https://en.wikipedia.org/wiki/Hour . The product of the numbers 1 to 6 (720) was multiplied out the same way. Licence: own work