Divisibility Rules

Which is 3,072 written in expanded form?

A. 3,00 + 7 + 2

B. 3,000 + 70 + 2

C. 3,000 + 700 + 2

D. 3,000 + 700 + 20

Multiple Choice

Which is 3,072 written in expanded form?

• A. 3,00 + 7 + 2

• B. 3,000 + 70 + 2

• C. 3,000 + 700 + 2

• D. 3,000 + 700 + 20

Learning your multiplication

facts does not have to be boring!

Every day, we will start our math

class with some music. Before

you know it, you will know

all of

your facts!

Darian is thinking of a number between 101 and 144 that has both 3
and 4 as factors. What numbers might he be thinking of? Explain.

Solve and Share

Day 6: Determine Factor Pairs Using Divisibility Rules

Today’s Learning

Day 6: Determine Factor Pairs Using Divisibility Rules

How can you find if a number is divisible by 3?
(Has a factor of 3?)

Today’s Learning

Day 6: Determine Factor Pairs Using Divisibility Rules

How can you find if a number is divisible by 3? (Has a factor of 3?)

Let’s list some multiples of 3:

Today’s Learning

Day 6: Determine Factor Pairs Using Divisibility Rules

How can you find if a number is divisible by 3? (Has a factor of 3?)

Let’s list some multiples of 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42…..
Let’s try our rule on some of these, does it work?

Multiple Choice

27: 2 + 7 = 9, is 9 divisible by 3?

• Yes, 9 divided by 3 is 3 because 3 times 3 is 9.

• No, you cannot divide 9 by 3 because nothing times three gives you 9.

Multiple Choice

42: 4 + 2 = 6, is 6 divisible by 3?

• Yes, 6 divided by 3 is 2.

  3 times 2 is equal to 6.

• No, 6 is not divisible by 3.

Dropdown

36



The sum of 36 is ​

Select answer

. It ​

Select answer

a multiple of 3. 36 ​

Select answer

divisible by 3.

Dropdown

143

The sum of 143 is ​

Select answer

. It ​

Select answer

a multiple of 3. 143 ​

Select answer

divisible by 3.

Dropdown

891

The sum of 891 is ​

Select answer

. It ​

Select answer

a multiple of 3. 891 ​

Select answer

divisible by 3.

Today’s Learning

Day 6: Determine Factor Pairs Using Divisibility Rules

How can you find if a number is divisible by 4? (Has a factor of 4?)

Let’s list some multiples of 4:

Today’s Learning

Day 6: Determine Factor Pairs Using Divisibility Rules

How can you find if a number is divisible by 4? (Has a factor of 4?)

Let’s list some multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60....

Today’s Learning

Day 6: Determine Factor Pairs Using Divisibility Rules

How can you find if a number is divisible by 4? (Has a factor of 4?)

Let’s list some multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60....

Today’s Learning

Day 6: Determine Factor Pairs Using Divisibility Rules

How can you find if a number is divisible by 4? (Has a factor of 4?)

Let’s list some multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60....

These will be important when helping to determine if bigger numbers are divisible by 4 or not.

Dropdown

Number: 144



The last two digits of 144 are ​

Select answer

.

This number ​

Select answer

a multiple of 4, therefore, 144 ​

Select answer

divisible by 4.

Dropdown

Number: 135



The last two digits of 135 are ​

Select answer

.

This number ​

Select answer

a multiple of 4, therefore, 135 ​

Select answer

divisible by 4.

Tell whether each number would have a factor of 3 and/or 4 by using the divisibility rules for 3 and 4.

1. 45

3. 111

2. 84

4. 136

Let’s Practice!

Day 6: Determine Factor Pairs Using Divisibility Rules

Multiple Select

Select all the numbers that are divisible by 5.

• 235

• 562

• 3,501

• 5,014

• 26,740

Multiple Select

Select all the numbers that are divisible by 3.

• 52

• 63

• 96

• 45

• 89

Multiple Select

Select all the numbers that are divisible by 10.

• 2,345

• 1,987,450

• 3,452

• 990

• 127

Multiple Select

Select all the true statements.

• 25 is divisible by 5.

• 32 is divisible by 2, 3, and 4.

• 145 is divisible by 2 and 3.

• 315 is divisible by 3 and 9.

• 870 is divisible by 2, 5 and 10.

Multiple Select

Which factors do 12 and 32 have in common?

• 1

• 2

• 3

• 4

• 12

Poll

How do you feel about the Rules of Divisibility for 2's, 3's, 4's, 5's, and 10's?

• Sigma! This stuff is EASY!

• Mid... I kind of get it...

• Skibbidy... Totally need your help!

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