## Digit Product

#### Problem

The product of the digits in the number 126, is 1 2 6 = 12.

How many other three digit numbers have a product that is equal to 12?

#### Solution

The three digits must be (126), (134) or (223) and there are fifteen different 3-digit numbers made up of these digits:

126,162,216,261,612,621

134,143,314,341,413,431

223,232,322.

Using three digit numbers, how many ways can you make the product 16?

Investigate different product targets.

What is the first product that you cannot make?

Which product can be made in the most number of ways?

Problem ID: 17 (Oct 2000) Difficulty: 1 Star