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Q: What is the prime factorization of 363?

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The prime factorization of 363 is 3x112.

3 x 11 x 11 = 363

3 x 112 = 363

363 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 6 factors of 363 are 1, 3, 11, 33, 121, and 363.The factor pairs of 363 are 1 x 363, 3 x 121, and 11 x 33.The proper factors of 363 are 1, 3, 11, 33, and 121 or,if the definition you are using excludes 1, they are 3, 11, 33, and 121.The prime factors of 363 are 3, 11, 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 (listing each prime factor only once) of 363 are 3 and 11.The prime factorization of 363 is 3 x 11 x 11 or, in exponential form, 3 x 112.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.

363 / 3 = 121

363=3*112

Prime Factorization of 22 is a prime number, so it does not have a prime factorization.

244 = 2 x 2 x 61 363 = 3 x 11 x 11 605 = 5 x 11 x 11

You get a prime factorization by figuring out the factors of the number and then figuring out the factors of those numbers. If the number is prime there is no prime factorization. prime factorization.

Prime Factorization of 86The prime factorization of 86 is:2 X 43Both numbers are prime, so that is the prime factorization of 86.

The smallest prime factor of 363 is: 3

363 = 3 times 121 and is therefore composite and not prime.

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