# What is the sum of the different positive prime factors of 1050?

What is the sum of the different positive prime factors of 1050?

A. 6
B. 10
C. 12
D. 17
E. 22

The first step is to find the prime factorization of 1050. Since 1050 is even, we can start by dividing by 2, giving us 1050 ÷ 2 = 525.

Next, since 525 ends with a 5, it is divisible by 5: 525 ÷ 5 = 105.

Divide by 5 again: 105 ÷ 5 = 21.

Finally, 21 ÷ 3 = 7.

So the prime factorization of 1050 = 2 × 3 × 5 × 5 × 7.

Now sum the different factors: 2 + 3 + 5 + 7 = 17.

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