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To find the prime factorization of 333 using exponents, we first need to break it down into its prime factors. 333 can be factored as 3 x 3 x 37. Writing this in exponential form, we get 3^2 x 37. Therefore, the prime factorization of 333 using exponents is 3^2 x 37.

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More answers

The prime factorization of 322 is 21 x 71 x 231.

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Wiki User

14y ago
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As a product of its prime factors in exponents: 3^2 times 37^1 = 333

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Wiki User

7y ago
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336 = 24*3*7

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13y ago
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Q: What is the prime factor of 333 using exponents?
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What is a prime factorization for 66 using exponents?

To get the prime factorization of 66, start with any of its factor pairs and keep factoring the numbers until they are all prime. 2 x 33 2 x 3 x 11 All the factors are prime, so the prime factorization is 2 x 3 x 11.


Does 333 have 4 as a factor?

no


What are the factor pairs of 333?

(1, 333) (3, 111) (9, 37)


What is the greatest common factor of 333 and 1000?

The greatest common factor (GCF) of two numbers is the largest number that divides both numbers evenly. To find the GCF of 333 and 1000, you can use prime factorization. The prime factorization of 333 is 3 x 3 x 37, and the prime factorization of 1000 is 2 x 2 x 2 x 5 x 5 x 5. The GCF is the product of the common prime factors raised to the lowest power, which in this case is 1 x 1 x 1 = 1. Therefore, the GCF of 333 and 1000 is 1.


What are the common factors of 333?

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 333 because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 2 and 333 are only 1; the greatest common factor is 1. The common factors of 3 and 333 are 1 and 3; the greatest common factor is 3. The common factors of 74 and 333 are 1 and 37; the greatest common factor is 37.