UKMT Senior Challenge-X

Number Theory Level 2

How many zeroes are there at the end of the number which is the product of the first 2012 prime numbers?

This problem is not original.

Bonus credit for identifying what on Earth the picture has got to do with this.This problem is part of this set .


The answer is 1.

A Former Brilliant Member by A Former Brilliant Member

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

Tijmen Veltman
Mar 6, 2015

This product contains exactly one factor of 2 and one factor of 5, seeing as no other primes divide 2 or 5. Therefore, it also contains exactly one factor 10 meaning there is 1 \boxed{1} zero at the end.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes, exactly! Not that hard, actually, but it was only the first question on the test paper... Just getting you warmed up.

A Former Brilliant Member - 6 years, 3 months ago

Log in to reply

Please tell that what on earth has the picture got to do with the question?

Mehul Arora - 6 years, 2 months ago

got the answer but what the hell has the picture got to do with this not done..?? Plz reveal..

Mayur Ade - 6 years, 3 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...