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Math Help - Highest power of three

  1. August 12th 2009, 11:42 PM #1
    a69356
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    Highest power of three

    Q-> What is the highest power of 3 available in the expression

    58! - 38! ?

    Thanks
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  2. August 13th 2009, 03:31 AM #2
    CaptainBlack
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    Quote Originally Posted by a69356 View Post
    Q-> What is the highest power of 3 available in the expression

    58! - 38! ?

    Thanks
    Write this as:

    58!-38!=38! \left( \frac{58!}{38!}-1 \right)

    As the term in brackets is not divisible by 3, you are asking what is the highest power of 3 in 38!

    CB
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