We can't answer this accurately without knowing what "the following" numbers were. In general, prime factorizations with two branches result fro numbers that are the product of two primes.
No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.
the prime factorization would be 3*7*7
57977 is a prime number, so the prime factorization of it would be just "57977".
No, 2x2x5 is not a prime factorization because 2 is not a prime factor. A prime factorization is a representation of a number as a product of prime numbers. In this case, the prime factorization of 2x2x5 would be 2x2x5 or 2^2x5.
5 and 2 are prime numbers, and thus can't be factorized any further. So the prime factorization of 5 would be 5, and the prime factorization of 2 would be 2. :)
0.4286
Prime factorization is a powerful tool when finding the lowest common multiple for use in fractions and greatest common factor when reducing fractions. It is used in algebra to find the possible factoring combinations when factoring polynomials.
It would be 2X2X3X7X7X13
29 is a prime number
19 is prime so the prime factorization would simply be 19.
Prime Factorization of 84No, 7 X 12 is not the prime factorization of 84. In order to be prime factorization, all factors must be prime numbers. 7 is prime, but 12 is not. Since it is an even number, 2 will divide into it. 2 times 6 is 12, so the factorization would be 7 X 2 X 6. Since 6 is not a prime number, that is not the prime factorizatio of 84. The factors of 6 are 2 and 3. That means the factorization is 7 X 2 X 2 X 3. All the factors are now prime numbers, so the prime factorization of 84 with the factors in order from smallest to largest is 2 X 2 X 3 X 7. When finding the prime factorization of any number, you have to keep factoring any composite factors until all the factors are prime.
The prime factorization of 1750 is 2 x 5 x 5 x 5 x 7. To be common, it would need to be compared to another prime factorization.