To perform a prime factorization of the number 50, you want to express it as a product of prime numbers. The prime factorization of 50 is:
or equivalently,
The prime factors here are 2 and 5.
If you are looking for pairs of numbers that can be multiplied together to yield 50, while also considering their prime factorization, the following factorizations can be expressed:
However, the only prime factorization, in terms of prime numbers, remains
If you need more than one way to express the factorizations using the prime factors, you could consider different orders or groupings, but essentially they involve the same primes.