Welcome to the Perfect Cube Checker, where you can easily verify if a number is a perfect cube.
What is a perfect cube?
A perfect cube is an integer obtained by multiplying three instances of another integer, which is called an integer raised to the power of 3. Expressed by the formula:
C = n * n * n = n3
where n is an integer.
For example, 8 is a perfect cube. Because 8 = 23.
To check whether a number is a perfect cube, just judge whether its cubic root is an integer. If the cubic root is an integer, then it is a perfect cube, otherwise, it is not a perfect cube.
First 100 perfect cubes
- 0 = 0 * 0 * 0
- 1 = 1 * 1 * 1
- 8 = 2 * 2 * 2
- 27 = 3 * 3 * 3
- 64 = 4 * 4 * 4
- 125 = 5 * 5 * 5
- 216 = 6 * 6 * 6
- 343 = 7 * 7 * 7
- 512 = 8 * 8 * 8
- 729 = 9 * 9 * 9
- 1000 = 10 * 10 * 10
- 1331 = 11 * 11 * 11
- 1728 = 12 * 12 * 12
- 2197 = 13 * 13 * 13
- 2744 = 14 * 14 * 14
- 3375 = 15 * 15 * 15
- 4096 = 16 * 16 * 16
- 4913 = 17 * 17 * 17
- 5832 = 18 * 18 * 18
- 6859 = 19 * 19 * 19
- 8000 = 20 * 20 * 20
- 9261 = 21 * 21 * 21
- 10648 = 22 * 22 * 22
- 12167 = 23 * 23 * 23
- 13824 = 24 * 24 * 24
- 15625 = 25 * 25 * 25
- 17576 = 26 * 26 * 26
- 19683 = 27 * 27 * 27
- 21952 = 28 * 28 * 28
- 24389 = 29 * 29 * 29
- 27000 = 30 * 30 * 30
- 29791 = 31 * 31 * 31
- 32768 = 32 * 32 * 32
- 35937 = 33 * 33 * 33
- 39304 = 34 * 34 * 34
- 42875 = 35 * 35 * 35
- 46656 = 36 * 36 * 36
- 50653 = 37 * 37 * 37
- 54872 = 38 * 38 * 38
- 59319 = 39 * 39 * 39
- 64000 = 40 * 40 * 40
- 68921 = 41 * 41 * 41
- 74088 = 42 * 42 * 42
- 79507 = 43 * 43 * 43
- 85184 = 44 * 44 * 44
- 91125 = 45 * 45 * 45
- 97336 = 46 * 46 * 46
- 103823 = 47 * 47 * 47
- 110592 = 48 * 48 * 48
- 117649 = 49 * 49 * 49
- 125000 = 50 * 50 * 50
- 132651 = 51 * 51 * 51
- 140608 = 52 * 52 * 52
- 148877 = 53 * 53 * 53
- 157464 = 54 * 54 * 54
- 166375 = 55 * 55 * 55
- 175616 = 56 * 56 * 56
- 185193 = 57 * 57 * 57
- 195112 = 58 * 58 * 58
- 205379 = 59 * 59 * 59
- 216000 = 60 * 60 * 60
- 226981 = 61 * 61 * 61
- 238328 = 62 * 62 * 62
- 250047 = 63 * 63 * 63
- 262144 = 64 * 64 * 64
- 274625 = 65 * 65 * 65
- 287496 = 66 * 66 * 66
- 300763 = 67 * 67 * 67
- 314432 = 68 * 68 * 68
- 328509 = 69 * 69 * 69
- 343000 = 70 * 70 * 70
- 357911 = 71 * 71 * 71
- 373248 = 72 * 72 * 72
- 389017 = 73 * 73 * 73
- 405224 = 74 * 74 * 74
- 421875 = 75 * 75 * 75
- 438976 = 76 * 76 * 76
- 456533 = 77 * 77 * 77
- 474552 = 78 * 78 * 78
- 493039 = 79 * 79 * 79
- 512000 = 80 * 80 * 80
- 531441 = 81 * 81 * 81
- 551368 = 82 * 82 * 82
- 571787 = 83 * 83 * 83
- 592704 = 84 * 84 * 84
- 614125 = 85 * 85 * 85
- 636056 = 86 * 86 * 86
- 658503 = 87 * 87 * 87
- 681472 = 88 * 88 * 88
- 704969 = 89 * 89 * 89
- 729000 = 90 * 90 * 90
- 753571 = 91 * 91 * 91
- 778688 = 92 * 92 * 92
- 804357 = 93 * 93 * 93
- 830584 = 94 * 94 * 94
- 857375 = 95 * 95 * 95
- 884736 = 96 * 96 * 96
- 912673 = 97 * 97 * 97
- 941192 = 98 * 98 * 98
- 970299 = 99 * 99 * 99
How to use the perfect cube checker
The procedure to use the perfect cube checker is as follows:
- Enter the positive number.
- Click calculate button to check whether the input integer is a perfect cube.
- Click the Reset button to start a new verification.
Solved examples using the perfect cube checker
Example 1: Is 243 a perfect cube?
Enter 243 into the input box and click Calculate button, as shown in the figure, 243 is not a perfect cube.
3√243 = 6.24
Example 2: Is 729 a perfect cube?
Enter 729 into the input box and click Calculate button, as shown in the figure, 729 is a perfect cube.
3√729 = 9
Example 3: Is 1728 a perfect cube?
Enter 1728 into the input box and click Calculate button, as shown in the figure, 1728 is a perfect cube.
3√1728 = 12
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