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.
Know MoreThe 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 more about NumbersThe prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3. In exponential form, this is 2^{5} x 3.
Full Answer >The prime factorization of 36 can be written as 2x2x3x3. Numbers greater than 1 that can only be divided by themselves and 1 are called prime numbers. Each non-prime number has a unique prime factorization.
Full Answer >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.
Full Answer >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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