Factors and Multiples

Factors are numbers that divide another number evenly without leaving a remainder.

Multiples are numbers that can be obtained by multiplying a number by an integer.

The GCF is the largest number that divides two or more numbers without leaving a remainder.

The LCM is the smallest number that is a multiple of two or more numbers.

To find the GCF, list the factors of each number and identify the largest factor they have in common.

To find the LCM, list the multiples of each number and identify the smallest multiple they have in common.

Prime factorization is expressing a number as the product of its prime factors.

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

A composite number is a natural number greater than 1 that is not prime, meaning it has more than two factors.

The prime factorization of 24 is 2^3 x 3.