44 = 22 x 111
The prime factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11or 2^5 x 111
No exponents are needed. The prime factorization is: 5 x 11
22 is 11 x 2 and both 11 and 2 are prime numbers. So we write the prime factorization as 2 x 11. Now the question asks for exponents, but it appears none are there. In fact, 11 can be also written as 111 and the same with 2. So you can write 22 = 111 x 21 . Most people don't write it this way, but it does tell you that there is one 11 and one 2 in the prime factorization.
The prime factorization is... 2x2x2x2x2x5x5
3 and 37 are the prime factors of 111.3 and 37
No prime power exists since there are no duplicate prime numbers in the prime factorization.
3 x 37 = 111
3 x 37 = 111
111 3,37 3 x 37 = 111
111 = 31 x 371
111 = 31 x 371
111 = 31 x 371
Divide by three. 3 x 37 = 111
51*111 = 55
22 x 111 = 44
23 x 111 = 88