A prime factorization is a multiplication sentence of prime factors.
2, 3 and 5 are the prime factors of 30. 2 x 3 x 5 is the prime factorization of 30.
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A factor string consists of any factors (except 1) that multiply to equal the number. Prime factorization consists of only prime numbers that multiply to equal the number. In the case where the factors of the original number consists only of primes, there is no difference.
The greatest prime factor they have in common is 2.
The prime factorization of 125 is: 5×5×5
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.
The prime factorization of 4 is 2 X 2, represented as 2^2. Prime factorization of 4 is 2 X 2.