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March 26, 2017

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What is the probability that a randomly selected divisor of 720 is a multiple of 4? Express your answer as a common fraction.

  • PLEASE HELP - DIVISORS PROB - ,

    since 720 = 4*180
    and 180 = 2^2 3^2 5
    180 has 18 factors:
    1 2 4 6 12 18 36
    10 20 30 60 90
    3 9 15 45 180

    I'd say 1/18, since all the factors that are multiples of 4 will be 4 times one of the factors in the list.

  • PLEASE HELP - DIVISORS PROB - ,

    thanks alot

  • PLEASE HELP - DIVISORS PROB - ,

    3/5

  • PLEASE HELP - DIVISORS PROB - ,

    15

  • PLEASE HELP - DIVISORS PROB - ,

    Using the above logic, the answer is 3/5.
    All the reasoning is correct (About the factors of 180). The only problem is that the probability of selecting one. Since the prime factorization of 720 is 2^4 x 3^2 x 5, then the number of factors that 720 has is (4+1)(2+1)(1+1)=30. So, the answer is 18/30=3/5

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