Math Rocks Factors and Multiples

Graham is creating equal sized teams for a soccer tournament challenge at practice. 16 people will be playing.

Which list shows ALL the possibilities for the number of people Graham could place on each team?

Pro-tip: Use a factor rainbow or T-chart.

• 1, 4, 16

• 1, 2, 4, 8, 16

• 2, 4, 8

• 4

What is the greatest factor of 55 that is also a prime number?

• 5

• 55

• 11

• 1

Select the number that is a multiple of 2.

Pro-Tip: Multiples are MANY! Also, look at the one's place.

• 35

• 67

• 86

• 75

Jazael has 37 chairs to set up for his magic show. The chairs need to be lined up in one or more equal-sized rows. How many possible ways can the chairs be lined up? Pro-Tip: Use arrays, a factor rainbow, or a T-chart.

• There are 2 possible ways.

• There are 3 possible ways.

• There are 4 possible ways.

• There are 5 possible ways.

Which number has 35 as a multiple?

Pro-Tip: The number you are looking for is a factor of 35.

• 10

• 7

• 4

• 2

Which of the following does NOT have 64 as a multiple?

Pro-Tip: You are looking for a factor that does NOT work with 64.

• 2

• 5

• 4

• 32

What is the lowest factor of 32 that is also a composite number?

• 16

• 8

• 32

• 4

Which number is a factor of 48?

• 6

• 18

• 7

• 9

Which number is a factor of 25?

• 1

• 2

• 10

• 50

Which number is a factor of 36?

• 8

• 12

• 16

• 30