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
2 cubed times 3 times 5
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.