Probably not, unless you pursue a career in the sciences.
You use a factor tree, for the 2 denominators. Yes that is correct the answer on the top but it says 2 denominators. This is the real correct way To do Prime Factorization in fractions first prime factorization the numerator and then the denominator. then put the prime factorization of the numerator on top and put the prime factorization of the denominator on the bottom like fractions.
In finding the LCM or HCF of two or more numbers
well if you are a teacher or somebody who does math for a living then you probably need to know it.
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.
You can find prime factorization worksheets at math world dot com. They have many to choose from and download and print for your convenience. Great site to use.
8
use a factor tree
The prime factorization of 560 is: 2, 5, and 7
Precisely.
If your numbers have no prime factors in common, they are relatively prime.
If the prime factorization contains a 5 and a 7, 35 is a factor.