It is useful, though not critical.
The idea is to divide numerator and denominator of a fraction by any common factors. Prime factorization is simply used to find all possible factors.
29 is already prime; no factorization.
you multiply the fraction by 2 the divide by 400 and write down all the small numbers with the quatation
13 is already prime. No factorization necessary.
11 is already prime; no need for a factorization.
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
The prime factorization of 91 is: 7 x 13
36/77 is already in simplest form, since the greatest common factor of 36 and 77 is 1. The prime factorization of 36 is 2*2*3*3 The prime factorization of 77 is 7*11
4.01=401/100 There's no other way to write this fraction as 401 is a prime number
No prime power exists since there are no duplicate prime numbers in the prime factorization.
67 = 67. It is a prime!
write the prime factorization of the number. simple as that.