How many numbers less than 100 are the product of 3 distinct primes?

Answer 1

To find how many numbers less than 100 are the product of 3 distinct primes, we can consider combinations of distinct primes. The smallest three distinct primes are 2, 3, and 5, whose product is 30. The next combination, 2, 3, and 7, gives 42, and continues with combinations like 2, 5, and 7 (70) and 3, 5, and 7 (105, which exceeds 100). Thus, the valid products less than 100 are 30, 42, and 70, leading to a total of 3 such numbers.