It's the same answer!

Number Theory Level 3

If A , B , C A,B,C are all distinct positive integers greater than 1, what is the smallest positive integer N N such that N ! = A ! × B ! × C ! N!=A! \times B!\times C! is satisfied?

Inspiration .


The answer is 10.

Pi Han Goh by Pi Han Goh , 30, Malaysia

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Harsh Shrivastava
Jul 10, 2017

10 ! = 7 ! 5 ! 3 ! 10! = 7! 5! 3!

Just to get few thoughts started...

0 Helpful 0 Interesting 0 Brilliant 0 Confused

How did you know that the answer cannot be smaller than 10?

Pi Han Goh - 3 years, 11 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...