Download Academic Math 7

Divisibility Rules
Name
Period #
Vocabulary Review and Divisibility Patterns
Term
The Set of
Whole
Numbers
Definition
The whole numbers are the set of
counting numbers and zero.
Example
What is the set of
whole numbers
less than 6?
{0, 1, 2, 3, …}
Divisible
Factor
A given number is divisible by a second
10 is divisible by 2
number, if the second number divides the because 10  2 = 5
given number with no remainder.
with no
remainder.
A whole number that can be multiplied
by another whole number to produce or
yield a given product is called a factor of
that given product.
What are
the factors of 15?
One number is a factor of a given
number if it divides the given number
with no remainder.
Multiple
A multiple of a given number is the
product of the given whole number and
any other whole number.
What are the first 4
multiples of 25?
What are the first 5
nonzero multiples of
12?
Divisibility Rules:
You must also MEMORIZE and BE ABLE TO APPLY the following:
A number
is divisible
by…
if…
2
the ones place is 0, 2, 4, 6, or 8. (even)
3
the _______ of the digits is divisible by 3.
4
the number formed by the last _________
_______________ is divisible by 4.
5
the digit in the ones place is a ________or
a _________.
6
the number must pass the test for both
______ and _______.
9
the __________ of the digits in the given
number is divisible by 9.
10
the digit in the ______ place is a ______.
100
the digits in BOTH the ones and tens
places are ____________.
Example
Divisibility Homework Worksheet
Name
Period #
Check the box if the given number is divisible by the number at the top of the column.
If the given number is NOT divisible by the number at the top of the column,
leave that box blank. Show your work to get the sum of all digits in the given number in
the box labeled work space. This work will help you with knowing when the given number
is divisible by a few numbers listed at the top of the columns.
Directions:
#
Given
Number
#1
100
#2
55
#3
63
#4
2,184
#5
1,000,820
#6
246
#7
1,012
#8
84
#9
270,000
#10
738
#11
101
Work Space
(sum of the digits)
2
3
4
5
6
9
10
100 1,000
#
Given
Number
#12
59
#13
50,319
#14
462
#15
920
#16
75,396
Work Space
(sum of the digits)
2
3
4
5
6
9
10
100 1,000
Directions: Complete the chart below:
by listing all factors of each given number and
the first 5 multiples of each given number.
#
Given
Number
#17
14
#18
100
#19
18
#20
22
#21
8
All Factors
First 5 Multiples