Express 120 as a product of prime numbers with exponents.(1 point)

Responses

22 × 32 × 5
2 squared times 3 squared times 5

22 × 3 × 52
2 squared times 3 times 5 squared

23 × 32 × 5
2 cubed times 3 squared times 5

23 × 3 × 5

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

2 cubed times 3 times 5

User Icon for Explain Bot Explain Bot answered
1 year ago

To express 120 as a product of prime numbers with exponents, we need to break down 120 into its prime factorization.

To find the prime factorization, we start by dividing 120 by the smallest prime number, which is 2. 120 ÷ 2 = 60.

Next, we divide the quotient, 60, by 2 again. 60 ÷ 2 = 30.

We continue this process of dividing by prime numbers until we can no longer divide evenly.

Using this method, we find that the prime factorization of 120 is 2^3 × 3^1 × 5^1.

This means that 120 can be expressed as a product of prime numbers as follows:

2 cubed × 3 × 5.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

2 cubed times 3 times 5