How Many?

Number Theory Level 3

How many such 3 digit positive integers are there such that the sum of their digits is equal to the product of their digits?


The answer is 6.

Ansh Bhatt by Ansh Bhatt , 23, India

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1 solution

Ossama Ismail
Apr 5, 2015

I think you should modify you problem to be How many (3 digits positive integers) numbers ---

123, 132, 213, 231, 312, 321

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Whatever we say, its a nice combination of Combinatorics and Number Theory .

Excellent, @Ansh Bhatt

Muhammad Arifur Rahman - 6 years ago

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