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# What is the prime factorization of 27?

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The prime factorization of 27 is 3x3x3. To perform prime factorization on a number, the number is broken down until only prime numbers remain. The answer can be checked by multiplying the prime factors together to see if they equal the original number.

## Keep Learning

Prime factorization can be performed using a few different methods, but one of the most common is the factor tree. The original number is placed at the top of a piece of paper with two lines drawn below it to connect it to two of its factors. This process is then repeated for the factors over and over until the numbers on the bottom level of the tree are all prime.

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## Related Questions

• A:

The prime factorization of 70 is 2 times 5 times 7. Multiplying these three prime numbers together makes 70, and this is the only unique combination of prime numbers that equals 70.

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The prime factorization of 35 is 5 and 7. Prime factors are numbers that are only divisible by themselves and one. While every number is divisible by one, most mathematicians do not consider it as a prime factor.

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The prime factorization of 120 is 2^3 x 3 x 5. Prime factorization requires finding the prime numbers that multiply together to yield a particular product. Prime numbers are numbers greater than one that are divisible by only themselves and 1.