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# What is the prime factorization of 81?

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The prime factorization of 81 is 3 x 3 x 3 x 3, or 3 ^ 4. Prime factorization of a number involves finding the prime numbers that, when multiplied together, yield that number.

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A prime number is a number that is divisible only by itself and one. Neither zero nor one is considered a prime number. To complete prime factorization on 81, find a common pair of dividends that multiplied together equal 81. Nine times nine equals 81, but nine is not a prime number because it is divisible by three. Break down each nine into three times three. Three is a prime number since only three and one are factors of it. Three times three times three times three is equal to 81.

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## Related Questions

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The prime factors of 56 are 2 x 2 x 2 x 7. Prime factors of an original number are prime numbers that — when multiplied together — give back the original number. Finding the prime factors of a number is called prime factorization.

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The prime factorization of 32 is 2 x 2 x 2 x 2 x 2. The prime factors of a number are numbers that are both factors and prime. In this case, the only factor of 32 that is prime is 2.

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The prime factorization of 40 is 40 = 2 x 2 x 2 x 5. To find the prime factorization of any number, x, one must determine which prime numbers multiple together to equal x.