Product of Prime Factors Quick Check
3 of 53 of 5 Items
Question
Express 80 as a product of prime numbers with exponents.(1 point)
Responses
23 × 5
2 Superscript 3 Baseline times 5
25 × 5
2 Superscript 5 Baseline times 5
24 × 5
2 Superscript 4 Baseline times 5
23 × 10
2 Superscript 3 Baseline times 10
The correct response is:
2³ × 5
To express 80 as a product of prime numbers with exponents, we need to find the prime factors of 80.
The prime factorization of 80 can be found by dividing it by prime numbers starting from 2 until we can no longer divide evenly.
80 divided by 2 = 40
40 divided by 2 = 20
20 divided by 2 = 10
10 divided by 2 = 5
Now, since 5 is already a prime number, we stop here.
So the prime factorization of 80 is: 2^4 x 5.
Therefore, the correct answer is: 2 Superscript 4 Baseline times 5.
To express 80 as a product of prime numbers with exponents, we need to find the prime factors of 80 and write them with their corresponding exponents:
Step 1: Divide 80 by the smallest prime number, which is 2. Repeat this process until we can no longer divide evenly by 2:
80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
Step 2: The remaining number after all divisions by 2 is a prime number, which is 5.
So, the prime factors of 80 are 2, 2, 2, 2, and 5.
Now we can express 80 as a product of prime numbers with exponents:
2³ × 5
Therefore, the correct answer is: 2 Superscript 3 Baseline times 5.