No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.
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.
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.
The only number with that prime factorization has to be 48.
The only prime numbers between 81 and 90 is... 83
No.
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 of 64 is 2x2x2x2x2x2 or 26. 2 is the only prime number in the factorization of 64.
Only one - which is repeated.
Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.
Saying "The" Instead of "A"The prime factorization is used instead of a prime factorization because there is only one correct prime factorization of any given number. Of course, that refers to composite numbers because prime numbers have no prime factorization.The use of the word "a" implies that more than one prime factorization is possible when it's not. The use of the word "the" signifies that only one prime factorization is possible, though there are various ways to arrive at it.
No, multiplying a set of numbers can only come out as one product. Therefore, two numbers having the same prime factorization is impossible.
1 is not a prime number, so it wouldn't be present in any prime factorization. Prime numbers don't really have factorizations, that is, the factorization is the number itself. There are prime numbers greater than 100.
Only composite numbershave prime factorizations. Prime factorizations must consist of only prime numbers.
Only if they're the same number. Every composite number has a unique prime factorization.
That's an infinite list.
2, 3, and 5 are all prime numbers and that is the only set of prime numbers that multiples to 180.