Understanding Factors

What are prime factors?

• Factors that are always even numbers

• The sum of all divisors of a number

• Prime factors are the prime numbers that divide a number exactly without leaving a remainder.

• Any number that can be divided by 2

List the prime factors of 30.

• [2, 3, 5]

• 3, 4, 5

• 2, 5, 6

• 1, 2, 3

What is a composite number?

• A composite number is a prime number greater than one.

• A composite number is any negative integer.

• A composite number is a positive integer that has only two factors.

• A composite number is a positive integer greater than one that is not prime.

Is 17 a prime or composite number?

• even

• odd

• composite

• prime

How do you find the factors of a number?

• Add the number to itself repeatedly.

• Subtract the number from one.

• List all integers that divide the number evenly.

• Multiply the number by itself.

Find all the factors of 24.

• 15, 18, 20, 22

• 5, 7, 9, 10

• 30, 36, 40, 48

• 1, 2, 3, 4, 6, 8, 12, 24

What is the greatest common factor (GCF) of 12 and 16?

• 2

• 8

• 6

• 4

Explain how to find the GCF of two numbers.

• The GCF is the smallest common multiple of the two numbers.

• The GCF is the largest common factor of the two numbers.

• The GCF is the difference between the two numbers.

• To find the GCF, add the two numbers together.

What is factorization?

• Factorization is the addition of numbers to form a sum.

• Factorization is the arrangement of numbers in a sequence.

• Factorization is the decomposition of an expression into a product of its factors.

• Factorization is the process of simplifying an expression to its lowest terms.

Use factorization to simplify the expression 12x + 18.

• 2(6x + 9)

• 12(x + 1.5)

• 3(4x + 6)

• 6(2x + 3)