A prime number is a natural number that can be only divided by 2 numbers: 1 and itself. For example 1, 3, 5, 11, 13, 17 etc. Numbers that are divisible by other numbers are no prime numbers such as 4 (4=2*2), 6 (6=2*3), and 4 (8=2*4).
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A prime factor is a prime number by which a given number is divisible. For example the prime factors of 6 are 2 and 3. Prime factorization is the process of finding a list of prime factors for a number.To write in short each factor which is repeated can be written in exponent form
Example:
Prime factorization of a few numbers is shown below:
24 =2 x 2 x 2 x 3= 23 x 3
72= 2 x 2 x 2 x 3 x 3 = 23 x 32
98=2 x 7 x 7= 2 x 72
A prime factorization calculator is a calculator which takes a number as an input and gives the list of prime factorization as its output.
There are various methods of finding prime factorization manually. The most commonly used are;Short Division Method and Factoral trees method.
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