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How do you figure the prime factorization of 328?

Updated: 8/19/2019
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11y ago

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328 Divide by two.

164,2 Divide by two.

82,2,2 Divide by two.

41,2,2,2 Stop.

2 x 2 x 2 x 41 = 82

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Q: How do you figure the prime factorization of 328?
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What prime factorization of 328?

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2 x 2 x 2 x 41 = 328


What are the factors and prime factors of 328?

328 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 8 factors of 328 are 1, 2, 4, 8, 41, 82, 164, and 328. The factor pairs of 328 are 1 x 328, 2 x 164, 4 x 82, and 8 x 41. The proper factors of 328 are 1, 2, 4, 8, 41, 82, and 164 or,if the definition you are using excludes 1, they are 2, 4, 8, 41, 82, and 164.The prime factors of 328 are 2, 2, 2, and 41. 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 2 distinct prime factors (listing each prime factor only once) of 328 are 2 and 41. The prime factorization of 328 is 2 x 2 x 2 x 41 or, in index form (in other words, using exponents), 23 x 41. NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.


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