Express the prime factorization of 84 with exponents.(1 point)

Question

Responses

2 ⋅ 3 ⋅ 7
2 times 3 times 7

3 ⋅4⋅7
3 times 4 times 7

2 ⋅ 32 ⋅7
2 times 3 squared times 7

22 ⋅ 3 ⋅ 7

Answer 1

The prime factorization of 84 can be found by dividing the number by its prime factors:

1. Divide by 2: \( 84 \div 2 = 42 \)
2. Divide by 2: \( 42 \div 2 = 21 \)
3. Divide by 3: \( 21 \div 3 = 7 \)
4. 7 is a prime number.

So, the prime factorization of 84 is \( 2^2 \cdot 3^1 \cdot 7^1 \).

Expressing this in the context of your given options, the correct response would be:

\( 2^2 \cdot 3 \cdot 7 \)