No, I do not think so. I believe that prime factorization is part of pre-algebra and number theory. The only connection I can think of is factorizing polynomials, which may involve thinking about the factors of a number.rosekidcute said:
I am not sure which type of questions you are looking for. If you are looking for questions, which involve simply factorizing numbers I would recommend a website called " Brilliliant.org". They offer problems and information on nearly all branches of maths and offer those kinds of practice problems.rosekidcute said:
"Component factors" isn't a well-defined term. The correct term would be "irreducible factors" to emphasize that those cannot be split further. The others are called reducible.rosekidcute said:
This is a theorem, which holds in some kind of number sets and which says: irreducible numbers are prime numbers. It is not automatically true, e.g. the real numbers don't have any primes.
A number is called prime, if whenever it divides a product, it has to divide (at least) one of the factors: ##p\,\vert \,a\cdot b \Longrightarrow p\,\vert \,a \, \vee \, p\,\vert \,b##.
Yes, because it can be shown that irreducible and prime are the same in the integers. The fact that unities like ##\pm 1## are ruled out is deliberately made. The purpose to do so is to formulate theorems in a reasonable way, since one can always add arbitrary many ones or evenly many minus ones to a factorization without changing the result. If unities (elements with a multiplicative inverse) were allowed, it would be harder to get to the core meaning of prime numbers or unnecessarily complicated to formulate results: "Let ##p## be a prime, but not a unity, then ..." would have been to added almost everywhere.
factors -- expressions that can be multiplied to produce some given expression. For example, 4 and 9 are factors of 36, because 4 * 9 = 36. Also 2x and 5x are factors of 10x2, because (2x)(5x) = 10x2.rosekidcute said:
What do you mean by "where to"?rosekidcute said:
rosekidcute said:
Probably means "where to go from here".fresh_42 said:
Yes. I simply saw no open question.Mark44 said:
fresh_42 said:
Mark44 said:
Factoring a number means finding its prime factors, which are the numbers that can divide the original number evenly without leaving any remainder. For example, the prime factors of 12 are 2 and 3, because 12 can be divided by 2 and 3 without any remainder.
Factoring a number is important in various fields such as cryptography, computer science, and mathematics. It helps in finding the greatest common divisor, simplifying fractions, and solving equations. In cryptography, factoring large numbers is used to ensure the security of encrypted messages.
To factor a number, you can use the factor tree method or the division method. In the factor tree method, you start with the number and break it down into smaller factors until all the factors are prime numbers. In the division method, you divide the number by prime numbers until the result is a prime number.
A prime number is a number that is divisible by only 1 and itself. In other words, it has exactly two factors. Some examples of prime numbers are 2, 3, 5, 7, 11, and 13. Prime numbers are important in cryptography and are used to generate public and private keys.
To determine if a number is prime or not, you can use the prime factorization method or the sieve of Eratosthenes. In the prime factorization method, you find the prime factors of the number and if the number has more than two factors, it is not a prime number. The sieve of Eratosthenes is a method of listing all the prime numbers up to a given number and checking if the number you are testing is on the list.