Cube and its properties

Property 1 If a number end with 1, then its cube will also end with 1 Example: Numbers One’s Place Rule Answer 1 number end with 1 Cube of 51 will end with 1 51 1 number end with 1 Cube of 121 will end with 1 121 191 1 number end with 1 Cube of 191 will end with 1 23571 1 number end with 1 Cube of 23751 will end with 1

Cubes of an even numbers are all even numbers Property 5 Observe the following table Number Square Number Square Cubes of an even numbers are all even numbers 2 8 1 1 3 27 4 64 5 125 6 216 Cubes of odd numbers are all odd numbers 7 343 8 512 9 729 10 1000

Property 2 If a number ends with 0 , 1 , 4 , 5 , 6 and 9 , then its cube will end with same number For Example: Numbers One’s Place Rule Answer 11 1 number ends with 0 , 1 , 4 , 5 , 6 and 9 Cube of 11 will end with 1 14 4 number ends with 0 , 1 , 4 , 5 , 6 and 9 Cube of 14 will end with 4 15 5 number ends with 0 , 1 , 4 , 5 , 6 and 9 Cube of 15 will end with 5 16 6 number ends with 0 , 1 , 4 , 5 , 6 and 9 Cube of 16 will end with 6 20 number ends with 0 , 1 , 4 , 5 , 6 and 9 Cube of 20 will end with 0 19 9 number ends with 0 , 1 , 4 , 5 , 6 and 9 Cube of 19 will end with 9

Property 3 If a number end with 2, then its cube will end with 8 For Example: Numbers One’s place Rule Answer 12 2 Number ends with 2 Cube of 12 will end with 8 18 8 Number ends with 8 Cube of 8 will end with 2

Property 4 If a number end with 3, then its cube will end with 7 For Example: Numbers Ones place Rule Answer 13 3 number end with 3 cube of 13 will end with 7 17 7 number end with 7 cube of 17 will end with 3

Try These By observing the units digits find which of the numbers cannot be a perfect cube 2321 , 1335 , 20949 , 30550 , 21368 , 4173.