The factor calculator will determine the factors of any positive integer. A factor is any number that divides evenly into another number. There are rules of divisibility that greatly assists one in finding factors by hand. They are as follows:
3if the sum of the digits in the number is divisible by
4if the last two digits form a number that is divisible by
0is divisible by
6if it is divisible by
8, then the entire number is divisible by
9, the entire number is divisible by
0is divisible by
There are many aspects of mathematics where it is important to be able to get factors. The factor calculator is helpful in finding the greatest common factor, least common multiple and prime factorization.
Prime factorization is an extension of factorization in which all the factors are prime numbers. For example, suppose we want the prime factorization of
48. The factors of
1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Notice those are not all prime numbers, so we have to break it down further. When completing the process, we get
2 * 2 * 2 * 2 * 3. Although
1 is a factor, many mathematicians now do not consider
1 to be a prime number. The prime factorization calculator is a handy tool to obtain these factors.
Another area of interest is calculating the greatest common factor of a set of numbers. To do so, we get the prime factorization of all the numbers. Then multiply all the factors that are the same in each set. For example, suppose we want the GCF of
68. The prime factorizations are
24 = 2 * 2 * 2 * 3,
44 = 2 * 2 * 11 and
68 = 2 * 2 * 17. Notice the only number present in all sets of factors is
2, which appears in common twice, so the GCF is
2 * 2 = 4. The GCF calculator will provide this result simply and quickly.
Closely related to the GCF is the LCM or least common multiple. The process is nearly the same to find the LCM. We get the prime factorizations and now multiply the highest power of all factors present. IN the above example, the LCM would be
2 * 2 * 2 * 3 * 11 * 17 = 4,488. The use of the least common multiple calculator will make a sometimes tedious process by hand much easier.
Note that the factor calculator gives the factors of 0 or any negative number as 1. We should only use positive integers in the factor calculator.
You can use the factor calculator to obtain the list of factors below.