Number System Review - Grade 6

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of 12 and 42?

Back

List the factors of each number: Factors of 12: 1, 2, 3, 4, 6, 12; Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42. The GCF is 6.

Front

What is the Least Common Multiple (LCM)?

Back

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

Front

How do you find the LCM of 5 and 20?

Back

List the multiples of each number: Multiples of 5: 5, 10, 15, 20, 25, ...; Multiples of 20: 20, 40, 60, ... The LCM is 20.

Front

What is a factor?

Back

A factor is a whole number that can be divided evenly into another number.

Front

What is a multiple?

Back

A multiple of a number is the product of that number and an integer.

Front

How do you determine if a number is a factor of another?

Back

If dividing the larger number by the smaller number results in a whole number with no remainder, then the smaller number is a factor.

Front

What is the relationship between GCF and LCM?

Back

The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves.

Front

What is the formula to find the GCF using prime factorization?

Back

1. Find the prime factorization of each number. 2. Multiply the lowest powers of all common prime factors.

Front

What is the formula to find the LCM using prime factorization?

Back

1. Find the prime factorization of each number. 2. Multiply the highest powers of all prime factors.