prime factorization and factorization
Answers
Answer:
prime factorization-using only prime numbers as factors
factorization-using any number to factorize
Answer:
prime factorization :
The prime factorization of a number is the product of prime factors that make up that number. Let's take a look at what that means.
Remember that product means the answer to a multiplication problem.
Factors are numbers that can be multiplied together to make another number. For example, 3 and 12 are a factor pair of 36.
Prime numbers are numbers that have exactly two factors, 1 and itself (i.e. 2, 3, 5, 7, 11,....).
So, prime factorization is writing the prime numbers that will multiply together to make a new number as a multiplication problem.
Here are some examples:
Ex. 1) 15 = 3 x 5
Ex. 2) 27 = 3 x 3 x 3 = 33 (We wouldn't want to write 3 x 9 because 9 isn't prime.)
Ex. 3) 48 = 2 x 2 x 2 x 2 x 3 = 24 x 3
factorization:
Factors of a number are numbers that divide evenly into another number. Factorization writes a number as the product of smaller numbers.
For example, let’s factor the number 12:
12 = 6 x 2 or
12 = 3 x 4 or
12 = 2 x 2 x 3