Prime factorization of 6ab²:
6ab² = 2 * 3 * a * b * b
Prime factors: 2, 3, a, b
Prime factorization of 75a²b:
75a²b = 3 * 5² * a * a * b
Prime factors: 3, 5, a, a, b
In prime factorization, a number is expressed as a product of its prime factors. For 6ab², we break it down into 2 * 3 * a * b * b where 2, 3, a, and b are all prime factors. Similarly, for 75a²b, it is broken down into 3 * 5² * a * a * b with 3, 5, a, and b as prime factors. This process allows for simplification and deeper understanding of the number's components in terms of prime factors.
