what is primefactorization?

Answer 1

Break down a number into factors that are prime.
Example 1
12 = 2 x 6
12 = 2 x 2 x 3
12 = 2² x 3

Example 2
54 = 2 x 27
54 = 2 x 3 x 9
54 = 2 x 3 x 3 x 3
54 = 2 x 3³

Hope these help.
Have a good day.

Answer 2

The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicity. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization.


Examples
a] The prime factors of 6 are 2 and 3 (6 = 2 × 3). Both have multiplicity 1.
b] 5 has only one prime factor: itself (5 is prime). It has multiplicity 1.
c] 100 has two prime factors: 2 and 5 (100 = 2^2 × 5^2). Both have multiplicity 2.
d] 2, 4, 8, 16, etc. each have only one prime factor: 2. (2 is prime, 4 = 22, 8 = 23, etc.)
e] 1 has no prime factors. (1 is the empty product)

Answer 3

It's numbers when u've done the factor tree to find HCF and LCM. Then u collect all the prime numbers(numbers that doesn't has any factor except the number itself and 1, for example 2.)
Ex: prime factorization of 12= 2(square) X 3
So when u times 2(square) and 3 u get 12. Okay?

Answer 4

Prime factorization is the process of factoring a number into its prime number elements.
eg. 308 = 2*2*7*11

Because prime factorization is so difficult for large numbers (1024 bits or larger), it is often used in encryption schemes.