Prime factors: A number written has no divisors and it divisible by itself and as a product of prime factors is said to in the prime factor form.
Example for prime factors:
Prime factor form of 5 = 1*5 thus 1, 5 are prime factors.

Binomials: An expression with two unlike terms is called a binomials.
Example for binomials:
x+y, m-5, mn+4m

While factoring a number if the factored numbers are prime numbers, then the numbers are called as prime factors. In other words, "A factor which is a prime number is called a prime factor". All numbers can be expressed as a product of prime numbers. A Prime number does not have any factors apart from the number itself and 1, but 1 is not a prime number.

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Prime Factorization is of taking a composite number and breaking it down into the product of its Prime Factors. The term prime factorization reminds us the two types of numbers available in maths such as Prime Numbers and Composite Numbers.

In mathematics, a prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself. The first twenty-five prime numbers are:

Prime Numbers:- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Condition: - If x is the prime number then the next factors of the number x is 1 and X.

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Prime factorization is a way of expressing a number as a product of prime numbers. Due to the commutative property of multiplication the order of numbers in a product does not matter. Hence the prime factorization of a number is unique.

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In mathematics, a prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself. The first twenty-five prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.