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Math Help - factors

  1. #1
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    factors

    How many factors does 3800 have? How many factors does 1500 have? How many factors do they have in common?


    I figured that both numbers have 24 factors each. What they have in common is what is throwing me off here.
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by ihavvaquestion View Post
    How many factors does 3800 have? How many factors does 1500 have? How many factors do they have in common?


    I figured that both numbers have 24 factors each. What they have in common is what is throwing me off here.
    Well, have you tried finding the prime factorization of the two numbers?

    Doing this also lets you find the total number of divisors.
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  3. #3
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    factors and divisors are the same right? 24 divisors for each

    sure the prime factorization for 3800 = 2^3 * 5^2 * 19 4*3*2=24divisors

    and the prime factorization for 1500 = 2^2 * 5^3 * 3
    3*4*2=24 factors

    so since the two numbers share the 2^2 and 5^2 do they share 3*3=9 divisors?
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  4. #4
    MHF Contributor chiph588@'s Avatar
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    Looks good to me!
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