Prime Factorization and Multiplication

The video tutorial explains how to determine the prime factorization of 630 by using a factorization tree. It starts by identifying factors of 630, then breaks them down into prime numbers. The tutorial demonstrates how to express the prime factorization in both expanded form and using exponents, emphasizing the importance of understanding the process and reading instructions carefully.

What is the first step in determining the prime factorization of a number?

• Create a factorization tree

• Divide the number by 2

• List all factors of the number

• Multiply the number by itself

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CCSS.4.OA.B.4

Which two numbers multiply to give 630?

• 10 and 60

• 10 and 63

• 15 and 42

• 20 and 31.5

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CCSS.4.OA.B.4

What are the prime factors of 10?

• 2 and 3

• 3 and 5

• 5 and 7

• 2 and 5

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CCSS.4.OA.B.4

Which of the following is a prime factor of 63?

• 8

• 7

• 9

• 6

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CCSS.6.EE.A.1

What are the prime factors of 9?

• 3 and 3

• 9 and 1

• 2 and 4.5

• 1 and 9

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CCSS.4.OA.B.4

Why is 3 considered a prime number?

• It is an even number

• It has only two factors: 1 and itself

• It is a multiple of 9

• It is greater than 2

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CCSS.6.EE.A.1

How can the prime factorization of 630 be expressed using exponents?

• 2 x 3 x 3 x 5 x 7

• 2 x 3^2 x 5 x 7

• 2 x 3 x 5^2 x 7

• 2^2 x 3 x 5 x 7

Which of the following is NOT a prime factor of 630?

• 7

• 6

• 5

• 2

What is the expanded form of the prime factorization of 630?

• 2 x 3^2 x 5 x 7

• 2 x 3 x 3 x 5 x 7

• 2 x 3 x 5^2 x 7

• 2 x 3 x 5 x 7