Squares & Cubes

Every square from 12 to 1002 and every cube from 13 to 203 — plus the patterns that make them easy to remember.

Squares 1² to 100²

Value
121
224
329
4216
5225
6236
7249
8264
9281
102100
112121
122144
132169
142196
152225
162256
172289
182324
192361
202400
212441
222484
232529
242576
252625
Value
262676
272729
282784
292841
302900
312961
3221,024
3321,089
3421,156
3521,225
3621,296
3721,369
3821,444
3921,521
4021,600
4121,681
4221,764
4321,849
4421,936
4522,025
4622,116
4722,209
4822,304
4922,401
5022,500
Value
5122,601
5222,704
5322,809
5422,916
5523,025
5623,136
5723,249
5823,364
5923,481
6023,600
6123,721
6223,844
6323,969
6424,096
6524,225
6624,356
6724,489
6824,624
6924,761
7024,900
7125,041
7225,184
7325,329
7425,476
7525,625
Value
7625,776
7725,929
7826,084
7926,241
8026,400
8126,561
8226,724
8326,889
8427,056
8527,225
8627,396
8727,569
8827,744
8927,921
9028,100
9128,281
9228,464
9328,649
9428,836
9529,025
9629,216
9729,409
9829,604
9929,801
100210,000

Spot-check trick: a perfect square can only end in 0, 1, 4, 5, 6, or 9 — a number ending in 2, 3, 7, or 8 is never a perfect square.

Cubes 1³ to 20³

Value
131
238
3327
4364
53125
63216
73343
83512
93729
1031,000
1131,331
1231,728
1332,197
1432,744
1533,375
1634,096
1734,913
1835,832
1936,859
2038,000

Two patterns worth knowing

Consecutive squares differ by the odd numbers. 1, 4, 9, 16, 25… the gaps are 3, 5, 7, 9 — so you can walk from any square to the next by adding the next odd number (15² = 225, so 16² = 225 + 31 = 256). The first n cubes sum to a perfect square: 1³ + 2³ + … + n³ = (1 + 2 + … + n)². For example 1 + 8 + 27 + 64 = 100 = 10².

For anything beyond the tables — 137², 41³, or fractional powers like 502.5 — the exponent calculator has you covered, and the cheat sheet collects all the exponent rules on one printable page. Also see the full powers of 2 table.

Sources & Further Reading