The first step in finding the cube root of any number between 1 and 100, you will have to learn a cube of numbers

**from 1 to 12.**Number | Cube |

1^{3} | 1 |

2^{3} | 8 |

3^{3} | 27 |

4^{3} | 64 |

5^{3} | 125 |

6^{3} | 216 |

7^{3} | 343 |

8^{3} | 512 |

9^{3} | 729 |

10^{3} | 1000 |

11^{3} | 1331 |

12^{3} | 1728 |

__Note:__The unit place on cubing 1, 4, 5, 6, 9 and 0 is the same but the unit place on cubing 2, 3, 7, 8 are not same.

Cube of 2’s unit place is 8, and a cube of 8’s unit place is 2.

Similarly, the cube of 3’s unit place is 7; and a cube of 7’s unit place is 3.

One can easily find the cube root of any number between 13 and 100.

##### – **Find the cube root of 2197.**

__Step 1:__Take last 3 digits aside i.e. 197.

__Step 2:__Now, you can see the last digit of number 197 is ‘7’ which a unit place digit of 3

^{3}. It means the number (

*cube root of 2197*) contains ‘3’ in its unit place.

__Step 3:__Next, you have to find the tens place digit. For this, take the remaining value i.e. ‘2’ of number 2197.

__Step 4:__You can see that ‘2’ (of number 2197) is larger than 1 (a cube of 1).

__Step 5:__Finally, you know the cube root of 2197 by combining the steps 2 and 4, which gives you the answer i.e.

*13*

##### – **Find the cube root of 262144.**

__Step 1:__Take last 3 digits aside i.e. 144.

__Step 2:__Now, you can see the last digit of number 144 is ‘4’ which a unit place digit of 4

^{3}. It means the number

*(cube root of 262144)*contains ‘4’ in its unit place.

__Step 3:__Next, you have to find the tens place digit. For this, take the remaining value i.e. ‘262’ of number 262144.

__Step 4:__You can see that ‘262’ (of number 262144) is larger than 216 (a cube of 6).

__Step 5:__Finally, you know the cube root of 262144 by combining the steps 2 and 4, which gives you the answer i.e.

*64*##### Practice by yourself

1. Find the cube root of *474552.*

2. Find the cube root of* 140608.*

3. Find the cube root of* 704969.*

4. Find the cube root of* 421875.*

5. Find the cube root of* 79507*.

6. Find the cube root of *175616*.

– I have also shared this post with my friend on sscnaukri.in (*blog SSC aspirants*).