Exploring Prime Factorization Techniques

The video tutorial explains the difference between prime and composite numbers, illustrating with examples. It introduces prime factorization, demonstrating how to break down numbers into their prime components using a factor tree. The video provides detailed examples of prime factorization for numbers like 50, 120, 280, 540, and 10,800, including the use of exponents to simplify expressions.

What is a prime number?

• A number that can be divided by 1 and itself only

• A number that can be divided by any number

• A number that can be divided by 1, 2, and 3

• A number that can be divided by 2 and 3

Tags

CCSS.4.OA.B.4

Which of the following is a composite number?

• 11

• 8

• 7

• 5

Tags

CCSS.4.OA.B.4

Why are 0 and 1 neither prime nor composite?

• Because they are odd numbers

• Because they do not fit the definition of prime or composite numbers

• Because they cannot be divided by any number

• Because they are even numbers

Tags

CCSS.4.OA.B.4

Which of the following is a prime number?

• 4

• 6

• 9

• 19

Tags

CCSS.4.OA.B.4

What is the prime factorization of 50?

• 2 x 2 x 5

• 2 x 5 x 5

• 5 x 5 x 5

• 2 x 2 x 2

How can you express the prime factorization of 50 using exponents?

• 2 x 5^2

• 2^2 x 5

• 2 x 2 x 5

• 5^3

Tags

CCSS.6.EE.A.1

What is the prime factorization of 120?

• 2 x 3^2 x 5

• 2^2 x 3 x 5

• 2^3 x 3 x 5

• 2^3 x 3^2 x 5

Tags

CCSS.6.EE.A.1

What is the prime factorization of 280?

• 2^3 x 5 x 7

• 2^3 x 5^2 x 7

• 2^2 x 5 x 7

• 2^3 x 3 x 7

Tags

CCSS.6.EE.A.1

What is the prime factorization of 540 using exponents?

• 2^2 x 3^3 x 5

• 2^3 x 3^2 x 5

• 2^2 x 3^2 x 5

• 2^2 x 3^3 x 5^2

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

What is the prime factorization of 10800 using exponents?

• 2^4 x 3^3 x 5^2

• 2^3 x 3^3 x 5^2

• 2^4 x 3^3 x 5

• 2^4 x 3^2 x 5^2

Tags

CCSS.6.EE.A.1