How many ordered triples $(x,y,z)$ of positive integers satisfy $xyz=4000$

Question

How would I find this out? Is there an equation or summation?

Do you know what the fundamental theorem of arithmetic is? – Brian Fitzpatrick Feb 08 '14 at 19:39 — Brian Fitzpatrick, Feb 08 '14 at 19:39

score 3 · Answer 1 · answered Feb 08 '14 at 19:39

3

Try decomposing 4000 into its prime factors and looking at what combinations you can have when splitting them into three groups.

answered Feb 08 '14 at 19:39

1 Answers1