Home
Class 14
MATHS
Total number of factors of a number is 2...

Total number of factors of a number is 24 and the sum of its 3 prime factors out of four, is 25. The product of all 4 prine factors of this number is 1365. Then such a greatest possible number can be :

A

17745

B

28561

C

4095

D

can't be determined

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

Total number of factors of 36 is :

The number of factors of a prime number is_____.

Find the number of prime factor of 20790

The sum of all the prime factors of a number is 15, then the number is ?

The number of factors of 24 is _________

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The smallest possible number that can be expressed as the sum of cube ...

    Text Solution

    |

  2. 8^6 - 5^6 is individually divisible by :

    Text Solution

    |

  3. Total number of factors of a number is 24 and the sum of its 3 prime f...

    Text Solution

    |

  4. If p be any odd natural number, greater than 3 then which digit will n...

    Text Solution

    |

  5. The relation R(m, n) can be defined for every positive integer m,n as ...

    Text Solution

    |

  6. The relation R(m, n) can be defined for every positive integer m,n as ...

    Text Solution

    |

  7. The relation R(m, n) can be defined for every positive integer m,n as ...

    Text Solution

    |

  8. The relation R(m, n) can be defined for every positive integer m,n as ...

    Text Solution

    |

  9. A six digit number of the form abcabc is written where a, b, c in I^(+...

    Text Solution

    |

  10. How many natural numbers upto 1155 are divisible by either 5 or 7 but ...

    Text Solution

    |

  11. Draw the graph of the inequation x - y ≤ 0 .

    Text Solution

    |

  12. When any two natural numbers N1 and N2, such that N2 = N1 + 2 are mult...

    Text Solution

    |

  13. In the above problem (no.22), if all such unit digits will be added th...

    Text Solution

    |

  14. A diamond expert cuts a huge cubical diamond into 960 identical diamon...

    Text Solution

    |

  15. The sum of all the factors of 45000 which are exactly the multiples of...

    Text Solution

    |

  16. The unit digit of the expression (1!)^(1!) + (2!)^(2!) + (3!)^(3!) +...

    Text Solution

    |

  17. When (1!)^(1!) + (2!)^(2!) + (3!)^(3!) + ……+(100!)^(100!) is divided b...

    Text Solution

    |

  18. The digit at the tens place in the sum of the expression : (1!) + (2...

    Text Solution

    |

  19. A number is divided strictly into two unequal parts such that the diff...

    Text Solution

    |

  20. A positive number p is such that (p + 4) is divisible by 7, 'N' being ...

    Text Solution

    |