A factor is a number or expression that divides another number or expression evenly without a remainder. For instance, two, four, five and 10 are factors of 20 because 20 can be divided by all those smaller numbers an exact number of times. Prime numbers are positive integers greater than one that have exactly two factors. A composite number has more than two factors.Continue Reading
Another way to define a factor is to multiply two or more numbers together to produce a larger number. All of those smaller numbers are factors of the product. A factor is also a divisor of a product, meaning the larger number is divided by the smaller an exact number of times.
Prime numbers have two factors, the prime number itself and one. Two is a prime number because two and one are the only numbers that multiply together to make two. Seven is a prime number because one and seven are the only numbers that produce seven as a multiple.
Factoring large whole numbers has a practical use in computer cryptography. Internet transactions are encrypted on the user and merchant end by large prime-number keys that complete the transactions. Without factoring of prime numbers, encryption codes over the Internet would not exist.Learn more about Arithmetic
Find all the factors of 60 by identifying each integer that divides evenly into 60. Begin by finding two factors, such as four and 15. Then find the factors of these factors. Four would divide into one, two and four. Fifteen would divide into one, three, five and 15.Full Answer >
If the divisor is 7 and the dividend is 84, solve it by attempting to divide 8 by 7. The result is 1 with a remainder of 1. Therefore, the first digit of the quotient is 1. Place the remainder of 1 in front of the next digit, which is 4. The divisor of 7 is divided into 14, which results in 2. Therefore, the results of 1 and 2 translate to a quotient of 12.Full Answer >
A rational expression in mathematics is an expression that is the ratio of two polynomials. Most often, it is expressed as a fraction, such as (x^2 + 5)/(x - 2).Full Answer >
When a math teacher says, "Write a verbal expression to represent each expression," she wants the students to change the algebraic representation into English sentences. Algebra can be denoted by sentences formed of specific English terms that indicate the use of a mathematical operator.Full Answer >