Question

600 is writtena s 2^a x b x c^d

where a , b, c and d are all prime numbers
Find the value of a,b,c and d

Answer 1

a = 3

b = 1

c = 5

d = 2

Explanation:

To find the prime factorization of 600, we can use trial division by dividing by the smallest prime numbers until we reach a prime factor:

600 ÷ 2 = 300

300 ÷ 2 = 150

150 ÷ 2 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

Therefore, the prime factorization of 600 is:

600 = 2^3 × 3^1 × 5^2

So, a = 3, b = 1, c = 5, and d = 2.