Home
Class 10
MATHS
Prove that every positive integer differ...

Prove that every positive integer different from 1 can be expressed as a product of a non-negative power of 2 and an odd number.

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1b|16 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1c|12 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/ Exemplar|11 Videos

  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.

Show that Every negative integer is a negative rational number.

Prove that n^2-n divisible by 2 for every positive integer n.

Prove that product of four consecutive positive integers increased by 1 is perfect square.

The number of positive integers with the property that they cann be expressed as the sum of the cubes of 2 positive integers in two different ways is

For every positive integer n, prove that 7^n-3^n is divisible by 4.

Prove that for any prime positive integer p ,sqrt(p) is an irrational number.

Gram positive bacteria differ from Gram negative bacteria in the structure of their

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1 , where q is some integer.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1 , where q is some integer.

NAGEEN PRAKASHAN ENGLISH-REAL NUMBERS-Exercise1 A
  1. Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...

    Text Solution

    |

  2. Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...

    Text Solution

    |

  3. Show that every even positive integer is of the form 6q or 6q + 2 or...

    Text Solution

    |

  4. Prove that every positive integer different from 1 can be expressed as...

    Text Solution

    |

  5. Show that the square of any positive integer is either of the form 4q ...

    Text Solution

    |

  6. Show that the square of any positive integer cannot be of the form 5q+...

    Text Solution

    |

  7. Prove that one and only out of n,(n+2) and (n+4) is divisible by 3, wh...

    Text Solution

    |

  8. There are 576 boys and 448 girls in a school that are to be divided in...

    Text Solution

    |

  9. The length, breadth and height of a room are 8m and 25cm, 6m and 75cm ...

    Text Solution

    |

  10. A sweet seller has 420 kaju barfis and 130 badam barfis. She wants ...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. In a group there are 21 childrens, 35 ladies and 49 gents. They all wa...

    Text Solution

    |

  13. Three sets of English, Hindi and Mathematics books have to be stack...

    Text Solution

    |

  14. Find the HCF of 81 and 237 and express it as a linear combination of 8...

    Text Solution

    |

  15. Find the polynomials u(x) and v(x) such that (x^(4) -1) * u(x) + (x^(...

    Text Solution

    |

  16. Six bells commence tolling together and toll at interval of 2, 4 , 6, ...

    Text Solution

    |

  17. Find the greatest number of 4 digits which is exactly divisible by 15 ...

    Text Solution

    |

  18. A number when divided by 143 leaves 31 as remainder. What will be the ...

    Text Solution

    |

  19. p and q are two positive integers such that the least prime factor of ...

    Text Solution

    |

  20. Express each of the following as a product of prime factors: (i) 96 ...

    Text Solution

    |