Factors and Prime Factorization of 48

The video tutorial explains how to find all the factors of 48 using a method similar to the rainbow method. It starts with identifying pairs of numbers that multiply to 48, then checks each number sequentially to see if it divides 48 evenly. The video also covers prime factorization using a factor tree, identifying the prime factors of 48 as 2 to the 4th power times 3. A trick is shared to calculate the total number of factors by adding 1 to each exponent in the prime factorization and multiplying the results. The video concludes with a check of the work and an invitation to explore more resources on factoring.

What is the first step in finding the factors of 48 using the method described?

• Start with 2 times 24

• Begin with 1 times 48

• List all even numbers

• Use a factor tree

Which number does not divide 48 evenly?

• 4

• 5

• 3

• 2

What are the factors of 48?

• 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

• 1, 2, 4, 8, 16, 32, 48

• 1, 3, 6, 9, 12, 18, 24, 48

• 1, 2, 5, 10, 20, 40, 48

What is the first step in creating a factor tree for 48?

• Circle the number 48

• Divide 48 by 3

• Start with 2 times 24

• List all prime numbers

How many times is the number 2 used in the prime factorization of 48?

• Two times

• Three times

• Four times

• Five times

What is the prime factorization of 48?

• 2^3 x 3

• 2^4 x 3

• 2^2 x 3^2

• 2 x 3^3

How do you determine the number of factors from the prime factorization?

• Subtract 1 from each exponent and multiply

• Add 1 to each exponent and multiply

• Multiply the exponents

• Add the exponents

How many factors does the number 48 have?

• 8

• 9

• 10

• 12

What additional resource is suggested for learning more about factoring?

• A science journal

• A math textbook

• A playlist

• A math competition