No. Every composite number has one unique prime factorization. You can write it with or without exponents, but it's still the same prime factorization.
No, a composite number can't have more than one prime factorization.
Prime factorization, no.
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.
Prime factorization is one of the ways you find the HCF.
The prime factorization of 21 is: 3 x 7
One doesn't have a prime factorization. The prime factorization of 125 is 5 x 5 x 5.
There is only one prime factorization string for each number, so there is not a "longest" one. Since 239 is a prime number, its prime factorization is 239.
No.No.
Prime factorizations are unique. If you change the prime factorization, you change the number.
Prime factorization is a common mathematical tool. One uses prime factorization to determine what prime factors of any given number are. One can practice this tool online.
you are almost there, you must split it one more time. 21 is divisible by 7 and 3, so the prime factorization of 42 is 7x3x2
A prime number has no factors other than 1 and the number itself. If prime factorization of a number reveals one or more additional prime factors, the number is a composite.