The prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2, which can also be written as 2^{6}. Prime factors are the prime numbers that are multiplied together to result in the product. To break down a product into its factors is known as "factoring a number."
Know MoreA prime number is a number that cannot be divided evenly by another number except itself and one. For example, the number 3 is a prime number because it can only be divided by 3 and 1. Numbers that can be evenly divided by other numbers are called composite number. All even numbers, with the exception of 2, are composite numbers because they can be divided evenly by 2. The number 64 is a composite number.
The prime factorization of a number is to find a list of the prime numbers that can be multiplied together to get the original number. This is different than the factorization of a number, which can include both prime an composite numbers. Prime factorization is used in security features such as computer encryption.
The easiest way to find the prime factors of 64 is to being by dividing it by 2, which results in 2 x 32. Since 2 is a prime number, the first prime factor is 2. The number 32 can be divided by 2, which results in 2 x 16. The second prime factor of 64 is 2. Dividing 16 by 2 results in 8 and a third prime factor of 2. Dividing 8 by 2 results in 4 and a fourth prime factor of 2. Dividing 4 by 2 results in 2, and gives the prime factors of 2 x 2 x 2 x 2 x 2 x 2.
Learn more about NumbersThe prime factors of 14 are two and seven. The prime factors of a number are all the factors of a number that are also prime numbers.
Full Answer >The prime factors of 75 are 3 and 5. A prime factor is any factor of a number that is also a prime number. A prime number is a designation for numbers that only have two factors: 1 and themselves.
Full Answer >The prime factors of 12 are 2 and 3. A prime number is a number greater than 1 that cannot be divided by any number except itself and 1. Both 2 and 3 are prime factors of 12 because they are prime numbers that can be divided into 12 with nothing remaining.
Full Answer >The prime factors of 6 are 2 and 3. The number 6 cannot be factorized into any other combination of prime numbers. A prime number is a whole number larger than 1 which can only be divided by 1 and itself.
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