Name: _____________________________________ Date: ________________ Period: _____
Abundant, Deficient, and Perfect Numbers
Directions: For each number in the chart below, find the sum of the proper factors and then identify by checking as Prime
or Composite AND Abundant, Deficient or Perfect
N
Factors of N
1
2
3
4
5
6
1
7
8
9
10
11
12
13
14
15
1, 7
16
17
18
19
20
21
22
23
1, 2, 4, 8, 16
1, 2
1, 3
1, 2, 4
1, 5
1, 2, 3, 6
1, 2, 4, 8
1, 3, 9
1, 2, 5, 10
1, 11
1, 2, 3, 4, 6, 12
1, 13
1, 2, 7, 14
1, 3, 5, 15
1, 17
1, 2, 3, 6, 9, 18
1, 19
1, 2, 4, 5, 10, 20
1, 3, 7, 21
1, 2, 11, 22
1, 23
1, 2, 3, 4, 6, 8, 12,
24
24
25
26
27
28
29
1, 5, 25
1, 2, 13, 26
1, 3, 9, 27
1, 2, 4, 7, 14, 28
1, 29
1, 2, 3, 5, 6, 10, 15,
30
30
31
1, 31
Sum of Proper
Factors
Prime
Composite Abundant Deficient Perfect
Name: _____________________________________ Date: ________________ Period: _____
Abundant, Deficient, and Perfect Numbers
Directions: For each number in the chart below, find the sum of the proper factors and then identify by checking as Prime
or Composite AND Abundant, Deficient or Perfect
N
32
33
34
35
36
37
38
39
40
41
42
Factors of N
Prime
1, 3, 11, 33
1, 2, 17, 34
1, 5, 7, 35
1, 2, 3, 4, 6, 9, 12,
18, 36
1, 37
1, 2, 19, 38
1, 3, 13, 39
1, 2, 4, 5, 8, 10, 20,
40
1, 41
1, 2, 3, 6, 7, 14, 21,
42
1, 43
44
45
46
47
1, 2, 4, 11, 22, 44
49
50
Factors
1, 2, 4, 8, 16, 32
43
48
Sum of Proper
1, 3, 5, 9, 15, 45
1, 2, 23, 46
1, 47
1, 2, 3, 4, 6, 8, 12,
16, 24, 48
1, 7, 49
1, 2, 5, 10, 25, 50
Answer the following questions:
1.
What patterns do you see?
2.
Are all prime numbers abundant, deficient, or perfect?
3.
Are all composite numbers abundant, deficient, or perfect?
4.
What do you notice about perfect numbers?
Composite Abundant Deficient Perfect