How many unique prime factors does the number 1,050 have?
To determine the unique prime factors of a number, we need to perform prime factorization. Prime factorization involves breaking down a number into its smallest prime factors that multiply together to form the original number.

Let's start with the number 1,050:

1. Divide 1,050 by the smallest prime number, which is 2:
   1,050 ÷ 2 = 525

2. Now divide 525 by the next smallest prime number, which is 3:
   525 ÷ 3 = 175

3. Divide 175 by the next smallest prime number, which is 5:
   175 ÷ 5 = 35

4. Divide 35 by the next smallest prime number, which is 5 again:
   35 ÷ 5 = 7

Now we have reached a prime number (7), so our prime factorization is complete.

The unique prime factors of 1,050 are 2, 3, 5, and 7.