how many prime numbers are there in 6^7×35^3×11^10

Question

_{How many prime numbers are there in} 6^{7_×353_×1110}

 

Answer 1

2*3=6

5*7=35

11=11

there are 7 2s, 7 3s, 3 5s, 3 7s, and 10 11s

there are 7+7+3+3+10=30 primes in the factorization of the number

Answer 2

There are three prime numbers in this expression (7 & 3 & 11) but that's probably not what is intended in this awkwardly expressed question.

 

Do you think that the question wants the PRIME FACTORIZATION OF THE WHOLE EXPRESSION?