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.
Know MoreThe best way to find the prime factorization of an even number is to first divide the number by 2. When dividing 36 by 2, the result is 18. This is not a prime number, so further divide by 2 to get 9. The result is now 2x2x9. The number 9 is not a prime and is also not even, so divide by the next prime number, 3. This results in 3. The prime factorization of 36 is now 2x2x3x3, which are all prime numbers.
Learn more about NumbersThe prime factorization of 256 is two to the eighth power, or 2^8. The prime factors of a given number are the prime numbers that, when multiplied together, yield the given number. Prime numbers are numbers that are evenly divisible by only themselves and one.
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 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 the number 80 is 2 x 2 x 2 x 2 x 5. When multiplied together, these five numbers have a product of 80.
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