Prime Factorization and Factor Trees

Maria, a mathematician, teaches prime factorization for children using the number 16. She explains how to create a factor tree, identify prime numbers, and write the factorization in both standard and exponential forms. The lesson is designed to be simple and engaging for young learners.

What is the purpose of using a factor tree in prime factorization?

• To add numbers together

• To find the prime factors of a number

• To divide numbers

• To subtract numbers

Which two numbers can be multiplied to start the factor tree for 16?

• 6 and 2

• 5 and 3

• 8 and 2

• 4 and 4

What defines a prime number?

• A number that is even

• A number with exactly two factors: one and itself

• A number with only one factor

• A number with more than two factors

After breaking down 8, which two numbers are identified as its factors?

• 7 and 1

• 6 and 2

• 4 and 2

• 3 and 5

What is the next step after identifying a prime number in a factor tree?

• Add it to the other branch

• Erase it

• Multiply it by 10

• Circle it

What are the factors of 4 in the factor tree?

• 2 and 2

• 3 and 1

• 4 and 1

• 5 and 2

How is the prime factorization of 16 written in standard form?

• 8 * 2

• 4 * 4

• 2 * 2 * 2 * 2

• 2 + 2 + 2 + 2

What is the exponential form of the prime factorization of 16?

• 2^3

• 4^2

• 2^4

• 8^1

How many times is the number 2 multiplied in the prime factorization of 16?

• Four times

• Five times

• Three times

• Two times

What is the final step after completing the factor tree?

• Divide the numbers

• Add all numbers together

• Write the prime factorization in standard and exponential form

• Erase the tree