Question

How many positive integers N are there such that the least common multiple of N and 1000 is 1000?

Answer 1

if LCM(N;1000)=1000 then N must be a divisor of 1000

Answer 2

So how many divisors of 1000?

Answer 3

Possible?

Answer 4

all the divisors of 1000, i don't know though if there's an easy way to count them,

Answer 5

i got 16 maybe i missed a couple :)

Answer 6

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
ALL POSTIVE

Answer 7

then your answer is 16

Answer 8

COLL THANKS

Answer 9

np