The smallest number that has four different prime factors is 210.
To understand why, let’s break it down:
- The four smallest prime numbers are 2, 3, 5, and 7.
- To find the smallest number with these four prime factors, we can simply multiply them together:
2 × 3 × 5 × 7 = 210
Thus, the number 210 is the smallest integer that can be formed with the multiplication of these four distinct prime factors. Each of these primes contributes to making the product, and since they are the smallest primes, 210 is indeed the smallest number fulfilling the condition of having four different prime factors.