How can you get 94 with only using 2 plus 3 plus 4and 6?

Answer 1

You cannot.

A very important theorem in algebra states that every number has a unique factorization into prime numbers, meaning every number can be expressed as a product of prime numbers *in only one way*.

What you're asking is whether 94 can be expressed as a multiple of the prime numbers 2 and 3 (I ignore 4 and 6, since they are in themselves multiples of 2 and 3, as 4=2x2 and 6=2x3).

Clearly, 94=2*47. Now, both 2 and 47 are prime numbers, and since we've stated that every number can be expressed as a product of primes in only one way, this must be the only way. As we can see, 3 is not part of this factorization, and therefore 94 cannot be expressed as a multiple of 2's and 3's.