Posted by **Anonymous...urgent!** 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 -
**Steve**, 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 -
**Devin**, Wednesday, March 6, 2013 at 8:51am
4455551 = 4x4x5x5x5x5x1=10000

the proof is not valid.

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