Factors

What is a factor tree used for?

• To write a letter

• To water plants

• To break down a number into its prime factors

• To measure temperature

Create a factor tree for the number 24.

• 3 x 8

• 4 x 6

• 2 x 12

• 5 x 5

What are the prime factors of 36?

• 2, 18

• 2, 3

• 1, 36

• 5, 7

Explain the process of finding prime factors using a factor tree.

• Start by dividing the number into its smallest prime factors and continue until all factors are prime.

• Start by subtracting the number from its smallest prime factors and continue until all factors are prime.

• Begin by multiplying the number by its smallest prime factors and continue until all factors are prime.

• Start by adding the number to its smallest prime factors and continue until all factors are prime.

What is the difference between a prime factor and a composite factor?

• A prime factor is only divisible by 1 and itself, while a composite factor has more than two divisors.

• A prime factor is always a multiple of 2, while a composite factor is always a multiple of 3.

• A prime factor is always odd, while a composite factor is always even.

• A prime factor is divisible by all numbers except 1 and itself, while a composite factor is only divisible by 1 and itself.

Factorize the number 48 using a factor tree.

• 3 x 16

• 2 x 2 x 2 x 2 x 3

• 4 x 12

• 6 x 8

What is the smallest prime factor of 60?

• 3

• 5

• 7

• 2

Explain how to use a factor tree to find the greatest common factor of two numbers.

• Start by finding the prime factors of each number and then identifying the common prime factors.

• Add the two numbers together

• Divide the two numbers by each other

• Multiply the two numbers

Factorize the number 75 using a factor tree.

• 3 x 25

• 5 x 15

• 6 x 12

• 8 x 10

Why is it important to understand factors and factor trees in mathematics?

• Understanding factors and factor trees is not important in mathematics

• There are no practical applications for understanding factors and factor trees

• Understanding factors and factor trees helps in simplifying fractions, finding greatest common factors, and identifying prime numbers.

• Factors and factor trees are only used in advanced mathematics