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Divisibility. Rules. What is Divisibility ?. Divisibility means that after dividing, there will be NO remainder. Can you tell by just looking at this number if it is divisible by 2? by 3? by 5? by 6? by 9? by 10?. 356,821. Divisibility Rules Can Help!.

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what is divisibility
What is Divisibility?

Divisibility means that after dividing, there will be NOremainder.

356 821
Can you tell by just looking at this number if it is divisible by 2?

by 3?

by 5?

by 6?

by 9?

by 10?

356,821

Divisibility Rules Can Help!

slide4

Divisibility Rules help you learn shortcuts to tell when a number can be divided by another number with NO remainder.

divisibility by
A number is divisible by 2 if the number is even.

18 ÷ 2 = 9

22 ÷ 2 = 11

(Notice that both of these numbers are even.)

21 ÷ 2 = 10 R1

(Not an even number.)

Divisibility by
are these numbers divisible by
Are these numbers divisible by
  • 127 - No

(Not an evennumber)

  • 937 - No

(Not an evennumber)

  • 4678 – Yes!

(It is an even number)

divisibility by1
Divisibility by

A number is divisible by 3 if the sum of the digits is divisible by 3.

Is the number 135 divisible by 3?

Add the digits: 1 + 3 + 5 = 9

Divide: 9 ÷ 3 = 3

YES!!! 135 is divisible by 3 because the sum of the digits is divisible by 3.

divisibility by2
Divisibility by

A number is divisible by 3 if the sum of the digits is divisible by 3.

Is the number 337 divisible by 3?

Add the digits: 3 + 3 + 7 = 13

Divide: 13 ÷ 3 = 4 r 1

NO!!! 337 is NOT divisible by 3 because the sum of the digits isn’t divisible by 3.

divisibility by3
Divisibility by
  • A number is divisible by 5 if it ends in 0 or5.

25 ÷ 5 = 5

23 ÷ 5 = 4 R3

divisibility by4
A number is divisible by 6 if it is divisible

byBOTH

2 and 3.

Is 42 divisible by 6? YES!

Is 51 divisible by 6? NO!! (it’s not divisible by 2)

Divisibility by
divisibility by5
A number is divisible by 9 if the sum of its digits is divisible by 9.

IS 369 divisible by 9?

Add Digits: 3 + 6 + 9 =18

Divide: 18 ÷ 9 = 2

YES! 9 is divisible by 9.

Divisibility by
divisibility by6
A number is divisible by 10 if it ends in 0.

30 ÷ 10 = 3

340 ÷ 10 = 34

67 ÷ 10 = 6 R7

784 ÷ 10 =78 R4

Divisibility by
the end
The End !!

Divisibility is

Un-frog-getable !!

slide16
THE END

Content:

P. Frye, Oak Grove Elementary School, December 2003

Graphics:

Microsoft Clip Gallery

AllAboutFrogs.org

Frogland

Updated 2012 M. Luker