Q:
# What are the factors of 30?

**The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30.** A number is considered the factor of another number when it can be evenly divided into that number.

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If the only factors for a number are 1 and the number itself, it is considered a prime number. Common factors between two numbers are any factors shared by both of those numbers. The greatest common factor is the biggest of those common factors. There are multiple ways to find the greatest common factor, one of which is to list all the factors of both numbers. Another method is finding the shared prime number factors and multiplying them together. The greatest common factor is useful for simplifying fractions, because dividing the numerator and the denominator by the greatest common factor simplifies the fraction as low as possible.

Numbers can be broken down into prime number factors through prime factorization, also known as integer factorization. This is done by continually breaking down a number into smaller factors until the only factors left are prime numbers. Prime factorization can be very difficult and complex for larger numbers, and no method is known to complete long factorizations quickly.

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Q:
## What is the difference between a factor and a multiple?

A: The factors of a number are all the integers that can be multiplied together to produce that number. For example, 1, 2, 3 and 6 are all factors of 6. Multi... Full Answer >Filed Under: -
Q:
## What are the factors of 31?

A: The factors of 31 are 31,1,-1, and -31. For any number, x, the factors are the set of numbers that can be multiplied by another number to equal x. Full Answer >Filed Under: -
Q:
## How do you factor (x^2-2x-4)?

A: The expression (x^2 - 2x - 4) factors as (x + 1 - sqrt(5))*(x + 1 + sqrt(5)), where sqrt(5) is the square root of 5. This quadratic polynomial is factored ... Full Answer >Filed Under: -
Q:
## What are the prime factors of 60?

A: The prime factors of 60 are 2, 3 and 5. The prime factors for any number can be found by performing a process called prime factorization. Full Answer >Filed Under: