Slowly counting
Number Theory
Level
1
How many positive multiples of 15 are less than 1000?
The answer is 66.
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
Since 1 0 0 0 = 6 6 × 1 5 + 1 0 , hence there are 66 positive multiples of 15 less than 1000.
Note: This question is equivalent to asking for the positive multiples of 3 that are less than 200, which is slightly smaller to deal with.