The prime factorization of 54 is 2 x 3 x 3 x 3, which can also be written as 2 x 3^{3}. Prime factors are the prime numbers that are multiplied to get another number. A prime number is any number that can only be divided by itself and 1, such as 3, 5 and 17; numbers that can be divided by other numbers are called composite numbers.
The only even number that is a prime number is 2, and 2 is a prime factor of every even number. Therefore, to find the prime factors of 54, the first step is to divide by 2. This results in 27, which cannot be divided by 2. The next step is to determine whether 27 can be further divided. When it is divided by 3, the result is 9. Since 3 is a prime number, it is the second prime factor of 54. The number 9 can be further divided into 3 x 3. The full prime factorization of 54 is 2 x 3 x 3 x 3.
Prime numbers can be considered the building blocks of numbers. Every number has its own unique set of prime factors. This fact is known as the Fundamental Theorem of Arithmetic. Prime factorization is useful in cryptology and computer encryption because it can take a long time for computers to determine the set of prime factors for large numbers.
Learn MoreThe 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.
Full Answer >The prime factorization of 99 is 3 times 3 times 11, or 3^2 times 11. Prime factorization requires finding the prime numbers that multiply together to make a particular number. Prime numbers are numbers that are evenly divisible by only themselves and one.
Full Answer >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.
Full Answer >The prime factorization of 100 is 2^2 x 5^2, or 2 x 2 x 5 x 5. One hundred is considered a composite number because it is a positive integer divisible by at least one positive number other than 1 and 100 (itself).
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