Divisability Rules

“Divisible BY”
What does it mean?

“Divisible by” means:
If you divide one number by another, the result is
a whole number WITHOUT a remainder.
Examples:
12 ÷ 6 = 2 No remainder
15 ÷ 5 = 3 No remainder

Divisibility Rule 2
A number is divisible by 2 if the
last digit is even. (0, 2, 4, 6, 8)
Examples: 78 3470
Review Even numbers: ghosteven

Now You Try:
Which number IS NOT divisible by 2?
572 1464 249
Need More Practice: Numbers Divisible by 2

It ends in a 0,
2, 4, 6, or 8.

Divisibility Rule 3
A number is divisible by three if the
sum of the digits is divisible by 3.
Examples:
75 7 + 5 = 12 12 ÷ 3 = 4 No Remainder
369 3 +6 + 9 = 18 18 ÷ 3 = 6 No Remainder

Now You Try:
572 1464 279

Divisibility Rule 4
A number is divisible by 4 if the last two
digits are divisible by 4.
Examples:
1320 20 ÷ 4 = 5
672 72 ÷ 4 = 18

Now You Try:
564 4101 188

The last 2 digits are
divisible by 4.

Divisibility Rule 5
A number is divisible by 5 if the last
digit is a 0 or 5.
Examples:
615 ends in a 5
1480 ends on a 0

Now You Try:
9820 779 560

The number ends in a
zero or a five.

Divisibility Rule 6
A number is divisible by 6 when it is divisible by
2 AND 3. (prime numbers)
Examples:
408 ends in an even number (2 rule)
sum of the digits is divisible by 3
Review prime and composite numbers: Prime and Composite Numbers

Now You Try:
8700 523 7602
Need more practice? Numbers Divisible by 6

This number is divisible
by 2 and 3.

Divisibility Rule 9
A number is divisible by 9 if the sum of
the digits is divisible by 9.
Examples:
963 9 + 6 + 3 = 18 18 ÷ 9 = 2
5445 5 + 4 + 4 + 5 =18 18 ÷ 9 =2

Now You Try:
Find the number that IS NOT divisible by
9.
9873 636 5541
Need More Practice: Numbers Divisible by 9 and 10

The sum of the digits is
divisible by 9.

Divisibility Rule 10
A number is divisible by 10 is it ends in a
ZERO.
Example:
7630 ends in a zero
410 ends in a zero

Now You Try:
ten.
56,920 7537 870

A number is divisible by 11 if the
difference between the sum of the
evenly placed digits is ZERO or a
multiple of 11.
Example:
1 232 (1+3) – (2+2) = 0

Now You Try:
11.
462 1 488 7 645

The difference between the sum of
the evenly placed digits is ZERO.

A number is divisible by 11 if the sum of
the digits is divisible by 3 and the last
two digits are divisible by 4.
Example:
324 3 + 2 + 4 = 9 div.by 3
24 is div.by 4

Now You Try:
12.
3 048 672 1976
Need More Practice: Numbers Divisible by 9 and 10

The sum of the digits is
divisible by 3. The last two
digits are divisible by 4.

Divisability Rules

More Related Content

What's hot (20)

Similar to Divisability Rules (20)

More from andyheomoiandyheomoi (20)

Recently uploaded (20)

Divisability Rules