What is 75 as a product of prime factors?

To express 75 as a product of its prime factors, we need to factor it down to prime numbers.

First, we can start dividing 75 by the smallest prime number:

• 75 ÷ 3 = 25 (3 is a prime number)

Next, we take the resulting quotient, which is 25, and factor it down:

• 25 ÷ 5 = 5 (5 is also a prime number)
• 5 ÷ 5 = 1 (5 again, as we factor it down to the last prime)

Now, we have completed our factorization. So, we can write 75 as:

75 = 3 × 5 × 5

In terms of prime factorization, we can also write this as:

75 = 3 × 5²

Thus, the prime factors of 75 are 3 and 5, with 5 being squared. This gives us a complete prime factorization of 75.