Question

Express the following numbers as the product of their prime factors:

a) 12
b) 20
c) 30
d) 24

Answer 1

The prime factorization for these numbers are:

• a) 12 = 2² × 3
• b) 20 = 2² × 5
• c) 30 = 2 × 3 × 5
• d) 24 = 2³ × 3

Step-by-step explanation:

To express a number as the product of its prime factors, we need to find the prime numbers that multiply together to give that number. Let's look at each number:

a) 12 = 2 × 2 × 3

b) 20 = 2 × 2 × 5

c) 30 = 2 × 3 × 5

d) 24 = 2 × 2 × 2 × 3

So, the prime factorization for these numbers are:

a) 12 = 2² × 3

b) 20 = 2² × 5

c) 30 = 2 × 3 × 5

d) 24 = 2³ × 3