perplexus.info :: Just Math : Digit sum and digit product equality

Digit sum and digit product equality (Posted on 2015-10-06)

Determine the total number of values of a 6-digit positive integer N such that the sum of the digits of N is equal to the product of the digits of N.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Only the digit set 111126 works.
There are 6 places the 2 could be and then 5 places the 6 could be, so there are a total of 6*5 = 30 such integers.
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Links	Jer	2015-10-07 07:30:21
computer aided solution	Charlie	2015-10-06 20:28:06

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