How to find Cube Root of a Number Quickly

Learn shortcut trick to find Cube Root of any number within 5 seconds. 2 Steps method to learn how to find Cube Root of any number.

Always Remember Some Basic Cubes

`1^{ 3 } `= 1 `16^{ 3 } `= 4096
`2^{ 3 } `= 8 `17^{ 3 } `= 4913
`3^{ 3 } `= 27 `18^{ 3 } `= 5832
`4^{ 3 } `= 64 `19^{ 3 } `= 6859
`5^{ 3 } `= 125 `20^{ 3 } `= 8000
`6^{ 3 } `= 216 `21^{ 3 } `= 9261
`7^{ 3 } `= 343 `22^{ 3 } `= 10648
`8^{ 3 } `= 512 `23^{ 3 } `= 12167
`9^{ 3 } `= 729 `24^{ 3 } `= 13824
`10^{ 3 } `= 1000 `25^{ 3 } `= 15625
`11^{ 3 } `= 1331 `26^{ 3 } `= 17576
`12^{ 3 } `= 1728 `27^{ 3 } `= 19683
`13^{ 3 } `= 2197 `28^{ 3 } `= 21952
`14^{ 3 } `= 2744 `29^{ 3 } `= 24389
`15^{ 3 } `= 3375 `30^{ 3 } `= 27000

Trick 1. 

Cube root for 2406104:

Number         Split as
2406104       2406 | 104
Split the number keeping the last 3 digit aside
`13^{ 3 } ` (2197) < 2406 < `14^{ 3 } ` (2744)
Choose the smaller number (13) as the 1st Part
If the cube ends in 1 2 3 4 5 6 7 8 9 0
The no. would end in 1 8 7 4 5 6 3 2 9 0
   13     |       4
Ans. 134

Trick 2. 

Cube root for 3796416:

Number     Split as:
3796416    3796 | 416
Split the number keeping the last 3 digit aside
`15^{ 3 } ` (3375) < 3796 < `16^{ 3 } ` (4096)
Choose the smaller number (15) as the 1st Part
If the cube ends in 1 2 3 4 5 6 7 8 9 0
The no. would end in 1 8 7 4 5 6 3 2
9
0
15    |    6
Ans. 156

Trick 3. 

Cube root for 2628072:

Number    Split as:
2628072    2628 | 072
Split the number keeping the last 3 digit aside
`13^{ 3 } ` (2197) < 2628 < `14^{ 3 } ` (2744)
Choose the smaller number (13) as the 1st Part
If the cube ends in 1 2 3 4 5 6 7 8 9 0
The no. would end in 1 8 7 4 5 6 3 2 9 0
13     |       8
Ans. 138

Try out some Cube Root Examples for:

3112136, 3869893, 704969, 14348907


How to find Cube Root of a Number Quickly How to find Cube Root of a Number Quickly Reviewed by Aman Bhatia on Thursday, December 28, 2017 Rating: 5

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