Patterns And Relations Worksheet - Grade 7 Page 4
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46To find out if 352 is divisible by 4, check if 52 is divisible by 4.
52
4
13
52 is divisible by 4, so 352 is divisible by 4.
To check if a number, such as 1192, is divisible by 8,
think: 1192
1000
192
We know 1000 is divisible by 8: 1000
8
125
So, we only need to check if 192 is divisible by 8.
Use mental math. 192
8
24
192 is divisible by 8, so 1192 is divisible by 8.
Another way to check if a
number is divisible by 8 is to
divide by 4. If the quotient
All multiples of 1000 are divisible by 8.
is even, then the number is
So, for any whole number with 4 or more digits,
divisible by 8.
we only need to check the last 3 digits to find out if the
number is divisible by 8.
A number that is divisible by 8 is also divisible by 2 and by 4
2 and 4 are
because 8
2
4.
factors of 8.
So, a number divisible by 8 is even.
You can use patterns to find divisibility rules
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5
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10
for other numbers.
11 12 13 14 15 16
17 18 19 20
➤ All multiples of 10, such as 30, 70, and 260,
21 22 23 24 25 26
27 28 29 30
31 32 33 34 35 36
37 38 39 40
end in 0.
41 42 43 44 45 46
47 48 49 50
Any number whose ones digit is 0,
51 52 53 54 55 56
57 58 59 60
is divisible by 10.
61 62 63 64 65 66
67 68 69 70
➤ Here are some multiples of 5.
71 72 73 74 75 76
77 78 79 80
5, 10, 15, 20, 25, 30, 35, 40, …, 150, 155, 160, …
81 82 83 84 85 86
87 88 89 90
The ones digits form a repeating pattern.
91 92 93 94 95 96
97 98 99
100
The core of the pattern is: 5, 0
Any number whose ones digit is 0 or 5,
Every multiple of 5 has a
ones digit of 0 or 5.
is divisible by 5.
➤ Multiples of 2 are even numbers: 2, 4, 6, 8, 10, …
All even numbers are divisible by 2.
Any number whose ones digit is even, is divisible by 2.
7
1.1 Patterns in Division
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