# NCERT Class 8 Mathematics Solutions: Chapter 7 – Cubes and Cube Roots Exercise 7.2 Part 1 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Image of cube root prime factorization method for cubes and cube root

**Question: 1** Find the cube root of each of the following numbers by prime factorization method:

(i) 64

(ii) 512

(iii) 10648

(iv) 27000

(v) 15625

(vi) 13824

(vii) 110592

(viii) 46656

(xi) 175616

(x) 91125

**Answer**:

**(i) 64**

2 | 64 |

2 | 32 |

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

**(ii) 512**

2 | 512 |

2 | 256 |

2 | 128 |

2 | 64 |

2 | 32 |

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

**(iii) 10648**

2 | 10648 |

2 | 5324 |

2 | 2662 |

11 | 1331 |

11 | 121 |

11 | 11 |

1 |

**(iv) 27000**

2 | 27000 |

2 | 13500 |

2 | 6750 |

3 | 3375 |

3 | 1125 |

3 | 375 |

5 | 125 |

5 | 25 |

5 | 5 |

1 |

**(v) 15625**

5 | 15625 |

5 | 3125 |

5 | 625 |

5 | 125 |

5 | 25 |

5 | 5 |

1 |