Fill - Free fillable Divisibility Rules Resource Sheet Use these rules to (City of Oakland) PDF form

Divisibility Rules

Resource Sheet

Use these rules to decide if one number can be evenly divided by another

(with no remainder).

“Divisible by” means the same as “evenly divided by.”

A number is

divisible by:

if… For example:

2

…it is even (ends in 0, 2, 4, 6, or 8).  12 is divisible by 2. 12 ÷ 2 = 6

 13 is not divisible by 2.

3

…the sum of the digits is divisible by 3.

This rule can be used a again, if needed.

 54 is divisible by 3. 5 + 4 = 9 (9 is divisible by 3)

 82 is not divisible by 3. 8 + 2 = 10

(10 is not divisible by 3. 1 + 0 = 1)

4

…the last two digits are divisible by 4.

OR

 116 is divisible by 4 because 16 is divisible by 4.

 225 is not divisible by 4 because 25 is not divisible by 4.

…the number can be halved twice.  32 is divisible by 4. Half of 32 is 16 and half of 16 is 8.

 46 is not divisible by 4. Half of 46 is 23, but 23 cannot

be evenly divided in half.

5

…it ends in 5 or 0.  45 is divisible by 5.

 52 is not divisible by 5.

6

…it is divisible by 2 and 3. (It passes the

Divisibility Rule for 2 and 3.)

 72 is divisible by 6 because…

…it is divisible by 2 because it is even and

…it is divisible by 3 because 7 + 2 = 9.

 64 is not divisible by 6 because…

…it is divisible by 2 because it is even but

…it is not divisible by 3 because 6 + 4 + = 10 (10 is not

divisible by 3, 1 + 0 = 1)

8

…it is divisible by 2 and 4. (It passes the

Divisibility Rule for 2 and 4.)

OR

 112 is divisible by 8 because…

…it is divisible by 2 because it is even and

…it is divisible by 4 because 12 is divisible by 4.

…the number can be halved three times.  32 is divisible by 8. Half of 32 is 16, half of 16 is 8, and

half of 8 is 4.

 44 is not divisible by 8. Half of 44 is 22, half of 22 is 11,

but 11 cannot be evenly divided in half.

9

…the sum of the digits is divisible by 9.

This rule can be used a again, if needed.

 81 is divisible by 9. 8 + 1 = 9 (9 is divisible by 9)

 73 is not divisible by 9. 7 + 3 = 10

(10 is not divisible by 9. 1 + 0 = 1)

10

…it ends in 0.  40 is divisible by 10.

 65 is not divisible by 10.

There is no simple Divisibility Rule for 7.

MPs

Applied MP

* Embedded MP

Multiplication: Products of 10

Conceptual Lesson

Grade 4 · Unit 3 · Lesson 1

MC: 4.NBT.1

1 2 3 4 5 6 7 8

*



 *

MILLIONS

PERIOD

THOUSANDS

PERIOD

ONES

PERIOD

H T O H T O H T O

Steps:

1. Build the factor (quantity).

2. Multiply by 10 (bundle if needed).

3. Examine the relationship between the

product and factors.

Place Value Chart

Bundle: compose base ten blocks into sets

of 10 and group them into the base ten block

of the next higher place value



Problem of the Day

Objective:

Vocabulary Notes

Structured Guided Practice

(A / B Partners Practice)

Directions: Multiply using base ten blocks. Fill in the table.

1. Starting with 4 multiply by 10 until you get a number in the ten

thousands place.

THOUSANDS

PERIOD

ONES

PERIOD

H T O H T O

Starting number 4

4 × 10

2. Starting with 36 multiply by 10 until you get a number in the hundred

thousands place.

THOUSANDS

PERIOD

ONES

PERIOD

H T O H T O

Starting number 3 6

36 × 10

Final Check for Understanding

(Teacher Checks Work)

Directions: Multiply using base ten blocks. Fill in the table.

1. Starting with 8 multiply by 10 until you get a number in the thousands

pla

ce.

2. Starting with 47 multiply by 10 until you get a number in the

hundred thous

a

nds place.

THOUSANDS

PERIODS

ONES

PERIOD

H T O H T O

Starting number 8

8 × 10

THOUSANDS

PERIODS

ONES

PERIODS

H T O H T O

Starting number 4 7

47 × 10

Closure

Recap today’s lesson with one or more of the following questions:

MP7: Do you see a pattern in today’s lesson?

MP8: What if you divide instead of multiply?

Fill Online, Printable, Fillable, Blank Divisibility Rules Resource Sheet Use these rules to (City of Oakland) Form

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Fillable Divisibility Rules Resource Sheet Use these rules to (City of Oakland)

Fill Online, Printable, Fillable, Blank Divisibility Rules Resource Sheet Use these rules to (City of Oakland) Form

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