let p be the product of the positive integers between 1 and 7 inclusive. How many distinct prime factors does p have?
Choices.
A) 1 B) 2 C) 3 D) 4 E) 5
There are 4 primes between 1 and 7, inclusive: 2, 3, 5, and 7, therefore p=1*2*...*7=7! has 4 distinct prime factors.   Answer: 4.
<result>D</result>
let p be the product of the positive integers between 1 and 7 inclusive. How many distinct prime factors does p have?