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.

Credit:
Judith Hausler
Cultura
Getty Images

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 as of 2014.

Learn more about Algebra-
Q:
## What are the factors of 48?

A: The factors of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. The number 48 is divisible by each of the factors without any remainder being left over.... Full Answer >Filed Under: -
Q:
## What are the factors of 66?

A: The factors of 66 are one, two, three, six, 11, 22, 33 and 66. Factors of a particular number are whole numbers that divide evenly into that number without... Full Answer >Filed Under: -
Q:
## What is the prime factorization of 88?

A: The prime factorization of 88 is 11 x 2 x 2 x 2. The only factors of 88 that are prime numbers are two and 11.... 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: