Question

We have:


`\overline{abc}`

a,b,c are natural prime numbers and


`a\cdot b \cdot c=30`


What are the numbers? Without using GUESS-WORK!

Answer 1

Factorize 30.

30|2
15|3
5|5
1


`30=2\cdot3\cdot5\\ \Downarrow\\ a=2\\ b=3\\ c=5`

Answer 2

`30=2\cdot15=2\cdot3\cdot5`

If you have no other data such as a < b < c, or other (even-odd number), then you have 6 answers:


`235\\253\\325\\253\\523\\532`