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Posted by on Monday, March 4, 2013 at 12:24am.

How many 7 digit positive integers are there such that the product of the individual digits of each number is equal to 10000?

  • GEOmetry - , Monday, March 4, 2013 at 4:46am

    10000 = 10^4 = 2^4 * 5^4
    so, the digits must be all 1's, 2's and 5's

    Since you need all 8 2's and 5's to get 10,000, no 7-digit number will do it.

  • GEOmetry - , Wednesday, March 6, 2013 at 8:51am

    4455551 = 4x4x5x5x5x5x1=10000
    the proof is not valid.

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