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What is the prime factorization of 308?

Updated: 4/28/2022
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15y ago

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2 x 2 x 7 x 11

or

2^2 x 7^1 x 11^1

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15y ago
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Q: What is the prime factorization of 308?
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What are the factors and prime factors of 308?

308 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 12 factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, and 308.The factor pairs of 308 are 1 x 308, 2 x 154, 4 x 77, 7 x 44, 11 x 28, and 14 x 22.The proper factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, and 154 or,if the definition you are using excludes 1, they are 2, 4, 7, 11, 14, 22, 28, 44, 77, and 154.The prime factors of 308 are 2, 2, 7, and 11. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.The distinct prime factors of 308 are 2, 7, and 11.The prime factorization of 308 is 2 x 2 x 7 x 11 or, in exponential form, 22 x 7 x 11.


Is 3x5x4 a prime factorization of 60?

No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.


What makes a factorization of a number a prime factorization?

When all the factors are prime numbers, that's a prime factorization.


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Prime Factorization of 22The prime factorization of 22 is:2 X 11Both numbers are prime, so 2 X 11 is the prime factorization of 22.


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prime factorization is the factorization of numbers


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What is the greatest prime factor of 308?

The greatest prime factor of 308 is 11.


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308 is divisible by 2. So it cannot be a prime.


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When asked for a factorization, it is generally understood to mean the prime factorization.


Can a number greater than 100 have only 1 number in it's prime factorization?

Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.