What is the prime factorization of 720?

Question

(1 point)
Responses

2 squared dot 6 squared dot 5
Image with alt text: 2 squared dot 6 squared dot 5

2 superscript 4 baseline dot 3 squared dot 5
Image with alt text: 2 superscript 4 baseline dot 3 squared dot 5

2 cubed dot 3 squared dot 5
Image with alt text: 2 cubed dot 3 squared dot 5

2 cubed dot 3 cubed dot 5

Answer 1

To find the prime factorization of 720, we can start by dividing it by the smallest prime numbers.

1. Divide by 2:
   • 720 ÷ 2 = 360
   • 360 ÷ 2 = 180
   • 180 ÷ 2 = 90
   • 90 ÷ 2 = 45

Now we have \(2^4\) because we divided by 2 four times.

2. We then continue with the next prime number, which is 3:
   • 45 ÷ 3 = 15
   • 15 ÷ 3 = 5

Now we have \(3^2\) because we divided by 3 two times.

3. Finally, we have reached 5, which is itself a prime number.

Putting it all together, the prime factorization of 720 is:

• \(2^4 \cdot 3^2 \cdot 5\).

So the correct response is: 2 superscript 4 baseline dot 3 squared dot 5.