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| Forty-five Product (Posted on 2013-10-28) |
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Find all possible values of a five-digit base ten positive integer N such that N is equal to 45 times the product of its digits.
Prove that there are no others.
Extra Challenge: A non computer program aided solution.
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Submitted by K Sengupta
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Solution:
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77,175 is the only possible value satisfying all the conditions of the problem.
For an explanation, refer to the solution submitted by Paul here.
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