Question

600 can be written as 2a×b×C×d, where a, b, C, and d are all prime numbers. What are the possible values of a, b, C, and d?

a) a = 2, b = 3, C = 5, d = 5
b) a = 3, b = 5, C = 2, d = 2
c) a = 5, b = 2, C = 3, d = 2
d) a = 2, b = 2, C = 5, d = 3

Answer 1

To find the possible values of a, b, C, and d, we need to factorize 600. The prime factorization of 600 is 2 × 2 × 3 × 5 × 5. Therefore, the possible values of a, b, C, and d are a = 2, b = 2, C = 3, d = 5.

Step-by-step explanation:

To find the possible values of a, b, C, and d, we need to factorize 600. We can start by dividing 600 by the smallest prime number, which is 2. We get 600 ÷ 2 = 300. Next, we continue dividing by prime numbers until we can no longer divide. By doing this, we find that 600 = 2 × 2 × 3 × 5 × 5. Therefore, the possible values of a, b, C, and d are:

a = 2, b = 2, C = 3, d = 5

So, the correct answer is (d) a = 2, b = 2, C = 3, d = 5.