What is the positive difference between the greatest and least prime factors of 2000

Question

zepdrix · Answer

Hmmm, so let's find the prime factorization of 2000.$$\Large 2000=16\times125$$

zepdrix · Answer

Which can be further broken down into,$$\Large 2^4\times5^3$$

zepdrix · Answer

Hmm should we be including 1 and 2000 as factors of 2000 for this problem? :\
Hmm I'm not sure...

If we are including them, then 1 would be our least prime factor, 5 our greatest.
5-1=4

If not, then 2 would be our least prime factor, 5 our greatest.
5-2=3

anonymous · Answer

1 is not considered prime, zepdrix, nor is 2000. Therefore neither should be included.

zepdrix · Answer

oh oh oh true story, 1 is not prime :3 ty lol