We have:

[tex] \overline{abc}[/tex]

a,b,c are natural prime numbers and

[tex]a\cdot b \cdot c=30[/tex]


What are the numbers? Without using GUESS-WORK!



Answer :

Factorize 30.

30|2
15|3
5|5
1

[tex]30=2\cdot3\cdot5\\ \Downarrow\\ a=2\\ b=3\\ c=5[/tex]
[tex]30=2\cdot15=2\cdot3\cdot5[/tex]

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

[tex]235\\253\\325\\253\\523\\532[/tex]

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