Answer
Prime factorization means writing the composite number as a product of prime numbers only.
Work Step by Step
A prime number has exactly two factors, while
a composite number has more than two.
Prime numbers: 2,3,5,7,11,13,17,19,,23,29,31,...
Prime factorization means writing the composite number as a product of prime numbers
Example
$42=6\times 7\quad$ ... 7 is prime, but 6 is not, so we write
$42=2\times 3\times 7\quad$ ... and we have prime factorization.
Example
$1300=13\times 100$
$=13\times 2\times 50$
$=13\times 2\times 2\times 25$
$=13\times 2\times 2\times 5\times 5$
(all prime numbers in the product)
