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Home >> Numbers >> Cube Numbers >> Properties of Cube Numbers >> Property 10 >>

Cube of Even Number leads to Even Cube Number

Property 1 Property 2 Property 3 Property 4 Property 5
Property 6 Property 7 Property 8 Property 9 Property 10
Property 11

Observe the following Table 1:
Table 1

Natural Number Cube Number
1 1
2 8
3 27
4 64
5 125
6 216
7 343
8 512
9 729
10 1000


Above table 1 represents Cube of first 10 Natural Numbers.
You can observe that numbers (highlighted in yellow) are even and their corresponding Cube numbers (highlighted in green) are also even.

Let's try few more Cube numbers as shown in table 2 and table 3:

Table : 2 Table : 3
Natural Number Cube Number
40 64000
41 68921
42 74088
43 79507
44 85184
45 91125
46 97336
47 103823
48 110592
49 117649
50 125000
Natural Number Cube Number
80 512000
81 531441
82 551368
83 571787
84 592704
85 614125
86 636056
87 658503
88 681472
89 704969
90 729000


In these tables also you will observe the same pattern which you observed in Table 1 i.e. numbers (highlighted in yellow) are even and their corresponding Cube numbers (highlighted in green) are also even.

So this explain the property of Cube number that:
Cube of Even numbers leads to Even Cube Number only.

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