With this factor calculator, you will determine the factors of any positive natural number. A factor is any number that divides evenly into another number. Show
Just enter any positive integer, and in the blink of an eye, you'll find all positive factors of that number. If you are not sure what a factor is, scroll down to find the factor definition, as well as divisibility rules with a dedicated paragraph for not so well-known divisibility rule of 7. What is a factor?/Factor definitionA factor, also called a divisor, is any number that divides evenly into another number. In other words, factors are the numbers we can multiply together to get a certain product: You can also notice that dividing the product by its factor leaves no remainder. Definition of the factor differs: some definitions claim that factor can be negative as well as positive, but in other cases, the term is restricted to positive factors only. Technically, you can have negative factors, although it's not so popular to use them. For practical purposes, our factor calculator provides only positive factors. If you need negative ones for some reason, just add the minus in front of every obtained value:
plus Divisibility rulesThere are many rules of divisibility that greatly assist one in finding factors by hand. The most often used ones are:
There are many aspects of mathematics where it's important to be able to find the factors. The factor calculator helps find the greatest common factor, least common multiple, and prime factorization. Divisibility rule of 7Want to check if 7 is a factor of our number? There are two basic methods for testing that. Let's show it on the example of the number 13,468.
Great! We obtained the number divisible by 7, so it means that our original number, 13,468 is also divisible by 7.
Other related areas of interestPrime factorization is an extension of factorization in which all the factors are prime numbers. For example, suppose we want the prime factorization of Another area of interest is calculating the greatest common factor (GCF) 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 Closely related to the GCF is the least common multiple, abbreviated as LCM. The process is as follows: we get the prime factorizations and multiply the highest power of all factors present. In the example above, the LCM would be And while we are learning arithmetic, make sure to check out our distributive property calculator to know how to handle complex mathematical expressions. What are the factors of...You can use the factor calculator to obtain the list of factors below:
FAQHow do I factor polynomials?
What is prime factorization?Prime factorization is the same as regular factorization, but where all of the factors are prime numbers. For the purposes of prime factorization, 1 is not considered a prime number. What is a common factor?A common factor is a factor that two numbers share. For example, 4 and 6 have a common factor of 2. Numbers can have multiple common factors, and finding them is an important step in finding the greatest common factor. What are factor pairs?Factor pairs are two numbers that, when multiplied together, result in a particular number. They are usually given as a set of factor pairs for a particular number, that is all of the pairs of numbers that, when multiplied together, equal the same number. Piotr Małek, Hanna Pamuła, PhD and Anna Szczepanek, PhD Enter one or two numbers: Number #1 Number #2 Tip To find common factors of more than two numbers, go to the GCF calculator. You may also want to have a look at our prime factorization calculator. Did 59 is a prime number?Fifty-nine is the 17th prime number. The next is sixty-one, with which it comprises a twin prime. 59 is an irregular prime, a safe prime and the 14th supersingular prime.
What multiples make 59?Solution: The first 10 multiples of 59 are 59, 118, 177, 236, 295, 354, 413, 472, 531 and 590.
Why is 59 a prime number?Yes, 59 is a prime number. The number 59 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 59 has exactly two factors, i.e. 1 and 59, it is a prime number.
What is the GCF of 59 and 9?As a result, the GCF of 9 and 59 is 1.
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