Prime Factorization of Squares, Cubes, HCF, LCM

Cube and Squares Review

by Ms. Knowles

Poll

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​Prime Factorization

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Use any method to show the prime factors of 56.

​Prime Factorization - Square Roots

Draw

Use any method to show the prime factors of 49.

​Prime Factorization - Cube Roots

Draw

Use any method to show the prime factors of 512.

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​Using Prime Factorization to find H.C.F.

• ​Find the prime factors of each number you are finding the H.C.F. for.

• Highlight or circle or underline what prime factors they have in common​ and multiply them if there is more than one.

Multiple Choice

What is the H.C.F. based on the image shown.

• 8

• 2

• 12

• 10

Multiple Choice

What is the H.C.F. based on the image shown.

• 8

• 2

• 12

• 10

​Using Prime Factorization to find L.C.M. Method 1

• ​Find the prime factors of each number you are finding the L.C.M. for.

• ​Highlight or circle or underline what prime factors they have in common​.

• Then also multiply the factors they don't have in common.

Multiple Choice

What is the L.C.M. based on the prime factors shown?

• 15

• 4

• 6

• 60

Multiple Choice

What is the L.C.M. based on the prime factors shown?

• 15

• 300

• 600

• 60

​Using Prime Factorization to find L.C.M. Method 2

• ​Using the ladder method find the prime factors of each number you are finding the L.C.M. for together.

• ​Multiply the prime factors you got for your answer.

Multiple Choice

What is the L.C.M. based on the prime factors shown?

• 15

• 30

• 40

• 60