A factor is a number that is multiplied in order to get another number.
2 and 5 are factors of 10, because 2 x 5 = 10.
1 and 10 are also factors of 10, because 1 x 10 = 10
Thus, the factors of 10 are 1, 2, 5, and 10.
Take note that a number has many factors.
There are two ways to determine the factors of a particular number.
In this method, the number is divided by a chosen number. If the remainder is 0, then it is a factor.
This method is used to determine if a certain number is a factor of another number.
A factor tree is a diagram to find the factors of a number. In this process, we first find the two numbers whose multiplication will gives us the given number (so for a given number 12 - we get 2 other number - 3 and 4 whose multiplication will give 12)
Now in next step, we use above approach to get the factors of 3 and 4 and write them in tree diagram and will repeat the process of factoring until no factor of any of these two number are possible.
This method is used to determine all possible factors of a number.
Prime number is a number whose factors are itself and 1.
Examples: 2, 3, 5, 7, 9, 11
*2 is the only even number that is a prime number.
Prime factorization is the process of determining the prime factors to be multiplied together resulting to the original number.
Factor tree is recommended for prime factorization.