Math 10 - Factors and Multiples of Whole Numbers

find the LCM of 12 and 30

12 = (2)x(2)x(3) 30= (2)x5x(3) = 2x2x3x5 = 60

factor 80 using a factor latter

2 (80 2(40 2(20 2(10 5 =2x2x2x2x5

find the GCF of 44 and 70

44 = (2)x2x11 70 = (2)x5x7 = 2

factor 80 using a factor tree

80 / \ 40 (2) / \ 20 (2) / \ 10 (2) / \ (5) (2) =2x2x2x2x5

what is a natural number that is greater than one and is not a prime number

composite number

prime factorization

of a natural number is the number written as a product of its prime factors

greatest common factor (GCF)

the greatest factor the numbers have in common

least common multiple (LCM)

the least number that is divisible by each number

how to find the LCM

1. write the prime factorization of each number 2. determine the greatest power of each prime factor in a list

how to find the GCF

1. write the prime factorization of each number 2. multiply together the factors that appear in each prime factorization