Q:

# What is a factor pair in math?

A:

A factor pair is a pair of integers whose product is a given number. The factors of a prime number are only 1 and itself. Composite numbers have the factor pair of 1 and itself, as well as at least one other factor pair.

## Keep Learning

The first positive prime number with a factor pair of only 1 and itself is 2. The number 1 is not considered a prime number, despite the fact that it could be interpreted as having the same property. Above 2, all prime numbers are odd. Every even number is divisible by 2 and half its value, and so each has at least two factor pairs. If negative numbers are included in the factorization, the number of factor pairs is doubled. Take for example that 2 also has the factor pair of -2 and -1.

Note that only integers, numbers that are whole number multiples of 1 or -1, have factor pairs. Other numbers on the real number line that have values between two integers are not considered to have factor pairs. The only number with infinite factors is 0, and it is the only number with 0 as a factor. All factor pairs of 0 include 0 as one of the factors.

Sources:

## Related Questions

• A: In math terms, a number's multiples are the product of that number and another whole number. For instance, multiples of seven include seven, 14 and 21 beca... Full Answer >
Filed Under:
• A: A whole number belongs to the set of integers that are equal to or greater than zero. For example, the set of numbers {0, 1, 2, 3, 4, 5, ...} contains all ... Full Answer >
Filed Under:
• A: A triangular number is one that is the sum of all positive integers less than or equal to a given positive integer. A square number is the product of an in... Full Answer >
Filed Under:
• A: Consecutive integers are two integers that sit adjacent to each other in a number sequence. An integer is a positive or negative whole number. The lowest v... Full Answer >
Filed Under:
PEOPLE SEARCH FOR