Home
Class 12
MATHS
How many factors does 210 have ?...

How many factors does 210 have ?

Text Solution

Verified by Experts


` :.` We can choose at least one 2,3,5,7 to be a factor of 210.
`:."The number of factors. = ""^4C_1+ ""^4C_2 + ""^4C_3+ ""^4C_4= 2^2-1=15`(Including 215 itself and excluding 1).
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MBD PUBLICATION|Exercise QUESTION BANK|139 Videos
  • PRINCIPLES OF MATHEMATICAL INDUCTION

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

How many factors does 1155 have that are divisible by 3?

How many factors of 10,000 end with a 5 on the right ?

If X and Y are two sets such that X uu Y has 20 objects, X has 10 objects and Y has 15 objects; how many objects does X nn Y have ?

How many junctions does a transistor have?

Upon what factors does the rate of diffusion of gas depend?

Define current sensitivity of MCG and on what factors does it depend ?

How many year does a tortoise live ?

On what factors does the rate of rise of temperature depend during variable state ?

MBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. From five consonants and four vowels, how many words consist of three ...

    Text Solution

    |

  2. In how many ways can a committee of four gentlemen and three ladies b...

    Text Solution

    |

  3. A bag contains 4 black and 5 white balls out of which 6 balls are draw...

    Text Solution

    |

  4. How many triangles can be drawn by joining the vertices of a decagon ?

    Text Solution

    |

  5. How many triangles can be drawn by joining the vertices and the centre...

    Text Solution

    |

  6. Sixty points lie on a plane, out of which no three points are collinea...

    Text Solution

    |

  7. In how many ways can 10 boys and 10 girls sit in a row so that no two ...

    Text Solution

    |

  8. In how many ways can six men and seven girls sit in a row so that the ...

    Text Solution

    |

  9. How many factors does 1155 have that are divisible by 3?

    Text Solution

    |

  10. How many factors does 210 have ?

    Text Solution

    |

  11. If n is a product of k distinct primes what is the total number of fac...

    Text Solution

    |

  12. If m has the prime factor decomposition P1^(r1),P2^(r2)…….Pn^(rn),what...

    Text Solution

    |

  13. If 20! Were multiplied out, how many consecutive zeros would it have o...

    Text Solution

    |

  14. How many factors of 10,000 end with a 5 on the right ?

    Text Solution

    |

  15. A man has 6 friends. In how many ways can he invite two or more to a d...

    Text Solution

    |

  16. In how many ways can a student choose 5 courses out of 9 if 2 courses ...

    Text Solution

    |

  17. In how many ways can a student choose five courses out of the courses....

    Text Solution

    |

  18. A cricket team consisting of 11 players is to be chosen from 8 batsmen...

    Text Solution

    |

  19. There are n+r points on a plane out of which n points lie on a straigh...

    Text Solution

    |

  20. There are 10 books in a shelf with different titles:five or these have...

    Text Solution

    |