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A prime factor is a factor that is a prime number.
To find out what a factor is, read the concept sheet Multiplying Numbers.
Example:

Prime factorization is decomposing a natural number greater than 1 into a multiplication equation whose factors are all prime numbers.
You obtain the prime factorization of a number once the number is decomposed into a multiplication equation whose factors are all prime numbers.
2 × 2 × 2 × 2 × 3 = 48
2 × 2 × 2 × 2 × 3 is the prime factorization of the number 48. Each factor in the multiplication equation is a prime number and the product is 48.
You can find the prime factorization of a number by using a factor tree.
To find out how, read the concept sheet The Factor Tree.