10 points

Factor the number 9999598404017903

Hint #1: It has two factors.

Hint #2: Both factors contain a 9999 somewhere in them.

EDIT: Orginal Number was copied incorrectly, as Jenks noted (the last digit was a 4, should have been a 3).  It is corrected now. I am subtracting 2 points from my score for posting an even number and not catching the fact that an even number might have a few more than 2 factors.

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~ by wcuk on August 21, 2008.

7 Responses to “10 points”

  1. Really? Just two factors?

  2. Huh?

    In mathematics, factorization (also factorisation in British English) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors.

    http://en.wikipedia.org/wiki/Factorization

  3. 99997873; 99998111

    Brute-forcing my way up the standings!

  4. Winner winner, chicken dinner!

  5. Oh, reasoning:
    the sqrt of your number was just below 99997992. So, 99997992 squared is just larger than your number. I added and subtracted equal quantities from 99997992, until their product descended from 9999598404032064 to 9999598404017903.

    Note: one needs a high-precision calculator to perform operations on numbers this large.

  6. Charlie, does the Windows calculator in scientific mode fit the bill?

  7. To test if it works, just multiply the two factors and see if you get 9999598404017903 to full precision. Most likely, you will get 9.999598404*10^15. On one improved calculator that I used, I got a rounding error and found 9999598404017904. I found a high precision Javascript calculator at http://www.petting-zoo.org/Calculator.html

    Don’t ask me what high precision calculations have to do with a petting zoo… It is a strange, strange, world that we live in!

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