Question

What is the positive difference between the product of the four smallest prime numbers and the product of the four smallest composite numbers greater than $0$?

A) 3
B) 5
C) 7
D) 9

Answer 1

The positive difference between the product of the four smallest prime numbers and the product of the four smallest composite numbers is 1518.

Step-by-step explanation:

In order to find the positive difference between the product of the four smallest prime numbers and the product of the four smallest composite numbers, we need to calculate the two products and then subtract them. The four smallest prime numbers are 2, 3, 5, and 7. Their product is 2 imes 3 imes 5 imes 7 = 210. The four smallest composite numbers greater than 0 are 4, 6, 8, and 9. Their product is 4 imes 6 imes 8 imes 9 = 1728. So, the positive difference is 1728 - 210 = 1518.