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Perfect Cube Checker

Welcome to the Perfect Cube Checker, where you can easily verify if a number is a perfect cube.

Perfect Cube Checker

Eg, is 729 a perfect cube? Enter 729 into the input box and click Calculate button.

Calculate Reset

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:

  • 1Enter the positive number.
  • 2Click calculate button to check whether the input integer is a perfect cube.
  • 3Click 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

Is 243 a perfect cube

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

Is 729 a perfect cube

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

Is 1728 a perfect cube

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