Question

which shows the prime factorization of 80? check all that apply.

\\(2 \times 4 \times 10\\)
\\(2 \times 2 \times 2 \times 2 \times 5\\)
\\(2^4 \times 5\\)
\\(2 \times 5 \times 8\\)

Explanation:

Find the prime factorization of 80

$$ 80 = 2 \times 40 = 2 \times 2 \times 20 = 2 \times 2 \times 2 \times 10 = 2 \times 2 \times 2 \times 2 \times 5 $$

Write in exponential form

$$ 2 \times 2 \times 2 \times 2 \times 5 = 2^4 \times 5 $$

Evaluate the given options

$$
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$$

Answer:

• \(2 \times 4 \times 10\)
• \(2 \times 2 \times 2 \times 2 \times 5\) (Correct answer)
• \(2^4 \times 5\) (Correct answer)
• \(2 \times 5 \times 8\)