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# What is the prime factorization of 296?

Updated: 4/28/2022

Wiki User

13y ago

296 = 2 x 2 x 2 x 37

Wiki User

13y ago

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Q: What is the prime factorization of 296?
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### What is the prime factorization of 2x2x7x7?

Prime factorization is a list of all the primes that multiply to make the original number. Thus to find that number you just multiply all these numbers together. In this case we have 2, 2, 7 and 7, so multiply them together to get: 2x2x7x7 = 296. Therefore, 2x2x7x7 is the prime factorization of 296.

23 x 37 = 296

2 x 2 x 2 x 37

### What are the factors and prime factors of 296?

296 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 8 factors of 296 are 1, 2, 4, 8, 37, 74, 148, and 296.The factor pairs of 296 are 1 x 296, 2 x 148, 4 x 74, and 8 x 37.The proper factors of 296 are 1, 2, 4, 8, 37, 74, and 148 or,if the definition you are using excludes 1, they are 2, 4, 8, 37, 74, and 148.The prime factors of 296 are 2, 2, 2, and 37. 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 296 are 2 and 37.The prime factorization of 296 is 2 x 2 x 2 x 37 or, in index form (in other words, using exponents), 23 x 37.

### What is the factorization of 296?

1, 2, 4, 8, 37, 74, 148, 296

### Is 296 a prime number?

296 is composite number

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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.

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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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