Factors of a number means that a number which is divisible by that particular number. After finding the factors of a particular number when an individual multiplies all the numbers together then the product which is yielded is equal to the number of which one is finding the factors. Factors of a number starts from 1 and ends till the number itself. Suppose if one finds the Factors Of 45, then the result will be 1, 3, 5, 9, 15 and 45. In this case, the factors are starting from 1 and ends till the number itself which in this case is 45. So, in every case one and the number itself will always be the factor. If one looks at the Factors Of 45, it will be found that 1, 3, 5, 9, 15 and 45 are divisible by 45. So, the factors are the one which gets divisible by the number. In the same way the factors of any number ranging from 1 and continuing till infinity could be found. The other terms related to factors are proper factors and prime factors. In the Factors Of 45, the factor pairs are 1*45, 3*15 and 5*9. The meaning of the term proper factor is that the factors which remain after excluding 1 and the number itself. In this case the proper factors are 3, 5, 9 and 15. The term prime factors means the terms in which only the prime numbers are included. Prime number means that a number which has only two divisors which are one and the number itself. In this case only two distinct prime factors can be found which are 3 and 5. 3*3*5 is the prime factorization of 45. If we multiply all the three numbers together result will be the number itself that is 45 in this case. In index form the prime factorization of 45 is 3 to the power 2*5. A factor tree of 45 can also be formed. It is easier to get the two factors of a number which will always be 1 and the number itself. The other factors can be found by taking into account each number ranging from 1 and the number and then finding whether it is divisible by 45 or not. If the number gets divisible by that number then that particular number is said to be the factor. In the case of 45, there are 6 factors in total which are 1, 3, 5, 9, 15 and 45. 

