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Thread: Odd divisor question

  1. #1
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    Odd divisor question

    98000 = 2^4 * 5^3 * 7^2

    Compute the number of odd divisors of 98000

    Im not what i need to do to start this
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  2. #2
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    Re: Odd divisor question

    You already have the prime decomposition, so any combination not including a factor of 2 will be odd...
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    Re: Odd divisor question

    Quote Originally Posted by inayat View Post
    98000 = 2^4 * 5^3 * 7^2
    Compute the number of odd divisors of 98000
    Im not what i need to do to start this
    If $P=2^g\cdot3^h\cdot5^j\cdot7^k\cdot11^m\cdot13^n$ then $P$ has $(g+1)(h+1)(j+1)(k+1)(m+1)(n+1)$ factors. Of those $(h+1)(j+1)(k+1)(m+1)(n+1)$ and $h(g+1)(h+1)(j+1)(k+1)(m+1)(n+1)$ even.
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