Question
A number is written with the following factorization: 2(to the third power) x 4 x 5. Is this factorization a prime factorization? Explain why or why not.
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( No answer choice )
Answers
I really need help, anyone there?
Prime Factorization is finding which prime numbers multiply together to make the original number.
2³ ∙ 4 ∙ 5 isn't a prime factorization because 4 = 2 ∙ 2 = 2²
In this case prime factorization is:
2³ ∙ 4 ∙ 5 = 2³ ∙ 2 ∙ 2 ∙ 5 = 2³ ∙ 2² ∙ 5 = 2³ ⁺ ² ∙ 5 = 2⁵ ∙ 5
2³ ∙ 4 ∙ 5 isn't a prime factorization because 4 = 2 ∙ 2 = 2²
In this case prime factorization is:
2³ ∙ 4 ∙ 5 = 2³ ∙ 2 ∙ 2 ∙ 5 = 2³ ∙ 2² ∙ 5 = 2³ ⁺ ² ∙ 5 = 2⁵ ∙ 5
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nvm it does thx
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