Factors and Multiples Quest

​Finding Greatest Common Factor and Least Common Multiple

Poll

How do you feel about finding greatest common factors and least common multiples?

• I don't know understand anything about this.

• I understand a little about this.

• I somewhat understand this.

• I understand this.

• I know this so well I could explain and show it.

Drag and Drop

Factors have to ​

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, with no ​

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.

Multiples are found by ​

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, or ​

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counting, by the number.

Drag these tiles and drop them in the correct blank above

fit

multiplying

remainder

skip

feast

slime

Dropdown

A ​

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of a number is a whole number that ​

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into another whole number evenly, leaving no ​

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.

A ​

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of a number is the ​

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of multiplying that number and another number.

Dropdown

A ​ factor of a number must be ​

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than or equal to that number.

For example, a factor of 15 cannot be greater than 15, though it can be exactly 15.

A​ multiple of a number must be ​

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than or equal to that number. For example, a factor of 10 cannot be less than 10, but it can be exactly 10.

Multiple Choice

Which of the following is NOT a factor of 12?

• 12

• 4

• 2

• 3

• 8

Multiple Select

Which of the following are NOT multiples of 12?

• 12

• 6

• 120

• 1

• 24

Categorize

Options (12)

1

2

4

5

10

20

6

25

12

40

60

80

Sort each number into whether it is a factor of 20, multiple of 20, both a factor and multiple of 20, or neither.

Just Factors of 20

Just Multiples of 20

BOTH a factor and multiple of 20

NEITHER a factor nor multiple of 20

Dropdown

The factors of 15 are 1, 3, ​

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, and 15.

Multiples of 15 are 15, 30, ​

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, 60, and more.

Dropdown

The factors of 30 are 1, 2, 3, 5, 6, ​

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, 15, and 30.

Multiples of 30 are 30, ​

Select answer

, 90, and more.

Drag and Drop

The ​

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common factor of a set of numbers is the ​

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number that can divide evenly into ​

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with no remainder.



The least ​

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multiple of a set of numbers is the ​

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number that both numbers can skip count to land on.

Drag these tiles and drop them in the correct blank above

greatest

common

biggest

both

smallest

Draw

Draw the prime factorization of 30. Start with 30 at the top.

Draw

Use the distributive property to rewrite 40 + 16 using the greatest common factor.

Draw

Use the distributive property to rewrite 30b + 20 using the greatest common factor.

Draw

Use the distributive property to rewrite 18h + 12b using the greatest common factor.