Squares and Cubes Table

Number

–enter a number for its powers and roots

n	n²	n³
1	1	1
2	4	8
3	9	27
4	16	64
5	25	125
6	36	216
7	49	343
8	64	512
9	81	729
10	100	1000
11	121	1331
12	144	1728
13	169	2197
14	196	2744
15	225	3375
16	256	4096
17	289	4913
18	324	5832
19	361	6859
20	400	8000
21	441	9261
22	484	10648
23	529	12167
24	576	13824
25	625	15625
26	676	17576
27	729	19683
28	784	21952
29	841	24389
30	900	27000
31	961	29791
32	1024	32768
33	1089	35937
34	1156	39304
35	1225	42875
36	1296	46656
37	1369	50653
38	1444	54872
39	1521	59319
40	1600	64000
41	1681	68921
42	1764	74088
43	1849	79507
44	1936	85184
45	2025	91125
46	2116	97336
47	2209	103823
48	2304	110592
49	2401	117649
50	2500	125000
51	2601	132651
52	2704	140608
53	2809	148877
54	2916	157464
55	3025	166375
56	3136	175616
57	3249	185193
58	3364	195112
59	3481	205379
60	3600	216000
61	3721	226981
62	3844	238328
63	3969	250047
64	4096	262144
65	4225	274625
66	4356	287496
67	4489	300763
68	4624	314432
69	4761	328509
70	4900	343000
71	5041	357911
72	5184	373248
73	5329	389017
74	5476	405224
75	5625	421875
76	5776	438976
77	5929	456533
78	6084	474552
79	6241	493039
80	6400	512000
81	6561	531441
82	6724	551368
83	6889	571787
84	7056	592704
85	7225	614125
86	7396	636056
87	7569	658503
88	7744	681472
89	7921	704969
90	8100	729000
91	8281	753571
92	8464	778688
93	8649	804357
94	8836	830584
95	9025	857375
96	9216	884736
97	9409	912673
98	9604	941192
99	9801	970299
100	10000	1000000

Squares and cubes are exact integers - the table is computed, not looked up, and runs to the full 1-100 homework range. The roots are where it gets honest: only perfect squares (1, 4, 9, 16, 25...) have clean square roots, and cubes are stingier still - the calculator shows every root to six decimals so you can see which is which. Bottom line: 12² = 144 and 12³ = 1,728 are the numbers behind a foot-a-side box; 100³ = one million is the smallest cube that reaches seven digits. Powers of two next door: binary powers table, fraction counterparts fraction table, the functions bible NIST DLMF.

Squares and cubes are the multiplication facts school skips after 12 - yet they decide tile areas, box volumes and why a 10% raise then a 10% cut leaves you behind. This table runs the full 1-100 range as exact integers, and the calculator adds the roots to six decimals so you can see which numbers open back up cleanly.

Everything here is computed, not transcribed: the table cannot be wrong by a typo, and the tool handles any number the table does not.

How to use

Type any number for its square, cube, square root and cube root at once; chips jump to 12, 25, 64 and 100.
Scan the table column for patterns: squares end only in 0, 1, 4, 5, 6 or 9 - never 2, 3, 7 or 8.
Use √ on a perfect square to sanity-check the table row: √144 = 12, round trip closed.

Frequently asked questions

What is the largest square in the table?

100² = 10,000 and 100³ = 1,000,000 - one million is the smallest cube with seven digits, which is why "six figures" of cube makes a millionaire joke work. The calculator extends past 100 for any n.

Which numbers have exact cube roots?

The perfect cubes: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000 - ten of them below 1000. Everything else gets a decimal; the calculator shows six places so 2∛ style rounding is visible, not hidden.

Why do squares never end in 2, 3, 7 or 8?

The last digit of n² depends only on the last digit of n, and squaring 0-9 yields only 0, 1, 4, 5, 6, 9. It is the fastest mental check that a number cannot be a perfect square - 15,392 fails before any dividing starts.

How fast does cubing grow?

Fast: 2³ = 8 is 8 times 1, but 10³ = 1000 is 10 times 100. Doubling the side of a box multiplies its volume by 8 - the reason small animals lose heat fast and whales do not, and why the 64 chip above is not just a bigger 32.

Squares and Cubes Table

How to use

Frequently asked questions

Related tools