Home
Class 11
MATHS
Find the total number of factors of 2160...

Find the total number of factors of `2160` (excluding `1`)

A

40

B

39

C

41

D

38

Text Solution

AI Generated Solution

To find the total number of factors of \( 2160 \) excluding \( 1 \), we will follow these steps: ### Step 1: Prime Factorization of 2160 We start by finding the prime factors of \( 2160 \). 1. Divide \( 2160 \) by \( 2 \): \[ 2160 \div 2 = 1080 ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|111 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|9 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

Similar Questions

Explore conceptually related problems

What is the total number of factors of a prime number?

Let A="{"1,2"]"a n d\ B={3,4} . Find the total number of relations from A into B.

The total number of all proper factors of 75600, is

Find the total number of solutions of sinpix=|ln|x||

Find the total number of proper factors of the number 35700. Also find (1)sum of all these factors (2)sum of the odd proper divisors (3)the number of proper divisors divisible by 10 and the sum of these divisors.

Find the total number of solutions to sinpi x=|ln|x|| .

Find the total number of terms in the expansion of 1(1+x+y)^(10) and cofficient of x^2 y ^3 .

Find the number of factors of the number 8820. Also find the sum of the odd proper divisors of the number .

Find the total number of terms in the expansion of (x^(3/2)+x^(1/2))^(10)dot

Find the total number of monohalogenated products including stereoisomers for R.

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Chapter Test
  1. Find the total number of factors of 2160 (excluding 1)

    Text Solution

    |

  2. 7 women and 7 men are to sit round a circulartable such that there is ...

    Text Solution

    |

  3. There are (n+1) white and (n+1) black balls, each set numbered 1ton...

    Text Solution

    |

  4. 12 persons are to be arranged to a round table. If two particular pers...

    Text Solution

    |

  5. The number of committees of 5 persons consisting of at least one femal...

    Text Solution

    |

  6. The number of ways in which a team of eleven players can be selected f...

    Text Solution

    |

  7. In a football championship, 153 matches were played. Every two-team pl...

    Text Solution

    |

  8. How many numbers between 5000 and 10,000 can be formed using the digit...

    Text Solution

    |

  9. If x, y and r are positive integers, then ""^(x)C(r)+""^(x)C(r-1)+""^(...

    Text Solution

    |

  10. In how many ways can 5 red and 4 white balls be drawn from a bag conta...

    Text Solution

    |

  11. All the letters of the word 'EAMCET' are arranged in all possible ways...

    Text Solution

    |

  12. There are 10 lamps in a hall. Each one of them can be switched on i...

    Text Solution

    |

  13. How many 10-digit numbers can be formed by using digits 1 and 2

    Text Solution

    |

  14. The straight lines I(1),I(2),I(3) are parallel and lie in the same pla...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. The number of diagonals that can be drawn by joining the vertices of a...

    Text Solution

    |

  17. The sum of the digits in unit place of all the numbers formed with the...

    Text Solution

    |

  18. In an examinations there are three multiple choice questions and each ...

    Text Solution

    |

  19. There are 10 points in a plane, out of these 6 are collinear. If N is ...

    Text Solution

    |

  20. Ramesh has 6 friends. In how many ways can be invite one or more of th...

    Text Solution

    |

  21. If Pm stands for ^m Pm , then prove that: 1+1. P1+2. P2+3. P3++ndotPn=...

    Text Solution

    |