There's a lot of different ways to notate the process (factor trees, rainbows, fireworks, division ladders, etc.) but the process itself is essentially the same. Divide a composite number by prime numbers until all the factors are prime.
That is correct, the prime factorization of 240 is 24 x 3 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.
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.
23 is a prime number in its own right because it has only two factors which are itself and one
Every positive composite number only has one unique prime factorization.
Because 100 only has one prime factorization.Because each composite whole number has a unique prime factorization.
Only one - which is repeated.
19 is prime so the prime factorization would simply be 19.
The prime factorization of 45 is 3 x 3 x 5. To find an LCM it is necessary to compare and combine that prime factorization with at least one other.
Each number only has one prime factorization.
389 is already prime. Its only factors are one and itself.
As long as the other number is not a multiple of the prime number, the GCF will always be 1.