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Thread: The product of two numbers equal 1,000,000

  1. #1

    The product of two numbers equal 1,000,000

    The product of two number's is 1,000,000. No digit of either number is a zero. What are the number's?

  2. #2
    Elite Member stapel's Avatar
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    Hint: Find the prime factorization of 1,000,000. Then figure out a way to multiply those factors that will give you numbers with no zeroes. (Note: Any product of 2 and 5 will result in a zero in the ones place.)

    Eliz.

  3. #3
    1,000,000/2 = 500,000



    your 2 numbers are----> 2, 500000

  4. #4
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    Quote Originally Posted by Sir_Loo
    1,000,000/2 = 500,000



    your 2 numbers are----> 2, 500000
    Sorry, No digit can be a 0.

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    Since one number must end with 5, and the other with 2 or 4 or 6 or 8,
    then the product of 1000000 will be from (10x + 5)(10y + 2 or 4 or 6 or 8),
    where x and y = any integer > 0

    galactus: a 6feet tall statistician who couldn't swim drowned trying
    to prove that a certain lake's depth averaged 5 feet
    I'm just an imagination of your figment !

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    That's good one, Denis. There are a lot of jokes about statistics.

    As far as the problem goes, I was thinking why not the prime factorization of 1000000. That's what Stapel suggested, too.

    [tex]2^{6}\cdot{5^{6}}[/tex]

    No 0's.

  7. #7

    Cool Got It

    15625 X 64

    I coded a program that figured it out in under a second, talk about efficiency eh?

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    Elite Member mmm4444bot's Avatar
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    Quote Originally Posted by Michae lSykes View Post
    I coded a program that figured it out in under a second, talk about efficiency eh?
    We can't really talk efficiency, until after you show us your code.
    "English is the most ambiguous language in the world." ~ Yours Truly, 1969

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    Quote Originally Posted by Michae lSykes View Post
    15625 X 64

    I coded a program that figured it out in under a second, talk about efficiency eh?
    The real question is whether or not it took longer to write the code than to find the prime factorization of 1000000.
    Also as already pointed out, before you can say efficient, please show us the code.
    A mathematician is a blind man in a dark room looking for a black cat which isnít there. - Charles R. Darwin

  10. #10
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    Quote Originally Posted by Michae lSykes View Post
    15625 X 64

    I coded a program that figured it out in under a second, talk about efficiency eh?
    I also can't state "efficient," because the problem was posted September 13, 2006 by someone else, and you posted June 17, 2017.

    There is a lot of variation in when you could have started that problem.

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