Prime Factorization Chart of Numbers 2-100
The purpose of the chart below is to provide a quick reference of the prime factorization of numbers from 2 to 100. You can use this chart to check your work if you have correctly prime factorized a given number. Think of this as a cheat sheet for the prime factorizations of numbers 2 to 100.
However, if you’re looking for a lesson to learn or refresh your memory regarding the steps on how to find the prime factorization of an integer that is greater than 1, please check my other lesson on how to perform Prime Factorizations.
Remember though that the number 1 is neither a prime number nor a composite number. That’s why when somebody asks you what’s the prime factorization of the number 1, your answer should include the idea that first and foremost 1 is neither a prime number nor a composite number therefore it doesn’t have one.
On the other hand, if you’re asked to find the prime factorization of a number that you know is prime like the number 13, your answer should be just the prime number itself which in this case the number 13.
Numbers 2 to 10
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 2
2
{2}
Number 3
3
{3}
Number 4
2 \cdot 2
{2^2}
Number 5
5
{5}
Number 6
2 \cdot 3
2 \cdot 3
Number 7
7
7
Number 8
2 \cdot 2 \cdot 2
{2^3}
Number 9
3 \cdot 3
{3^2}
Number 10
2 \cdot 5
2 \cdot 5
Numbers 11 to 20
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 11
11
11
Number 12
2 \cdot 2 \cdot 3
{2^2} \cdot 3
Number 13
13
13
Number 14
2 \cdot 7
2 \cdot 7
Number 15
3 \cdot 5
3 \cdot 5
Number 16
2 \cdot 2 \cdot 2 \cdot 2
{2^4}
Number 17
17
17
Number 18
2 \cdot 3 \cdot 3
2 \cdot {3^2}
Number 19
19
19
Number 20
2 \cdot 2 \cdot 5
{2^2} \cdot 5
Numbers 21 to 30
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 21
3 \cdot 7
3 \cdot 7
Number 22
2 \cdot 11
2 \cdot 11
Number 23
23
23
Number 24
2 \cdot 2 \cdot 2 \cdot 3
{2^3} \cdot 3
Number 25
5 \cdot 5
{5^2}
Number 26
2 \cdot 13
2 \cdot 13
Number 27
3 \cdot 3 \cdot 3
{3^3}
Number 28
2 \cdot 2 \cdot 7
{2^2} \cdot 7
Number 29
29
29
Number 30
2 \cdot 3 \cdot 5
2 \cdot 3 \cdot 5
Numbers 31 to 40
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 31
31
31
Number 32
2 \cdot 2 \cdot 2 \cdot 2 \cdot 2
{2^5}
Number 33
3 \cdot 11
3 \cdot 11
Number 34
2 \cdot 17
2 \cdot 17
Number 35
5 \cdot 7
5 \cdot 7
Number 36
2 \cdot 2 \cdot 3 \cdot 3
{2^2} \cdot {3^2}
Number 37
37
37
Number 38
2 \cdot 19
2 \cdot 19
Number 39
3 \cdot 13
3 \cdot 13
Number 40
2 \cdot 2 \cdot 2 \cdot 5
{2^3} \cdot 5
Numbers 41 to 50
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 41
41
41
Number 42
2 \cdot 3 \cdot 7
2 \cdot 3 \cdot 7
Number 43
43
43
Number 44
2 \cdot 2 \cdot 11
{2^2} \cdot 11
Number 45
3 \cdot 3 \cdot 5
{3^2} \cdot 5
Number 46
2 \cdot 23
2 \cdot 23
Number 47
47
47
Number 48
2 \cdot 2 \cdot 2 \cdot 2 \cdot 3
{2^4} \cdot 3
Number 49
7 \cdot 7
{7^2}
Number 50
2 \cdot 5 \cdot 5
2 \cdot {5^2}
Numbers 51 to 60
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 51
3 \cdot 17
3 \cdot 17
Number 52
2 \cdot 2 \cdot 13
{2^2} \cdot 13
Number 53
53
53
Number 54
2 \cdot 3 \cdot 3 \cdot 3
2 \cdot {3^3}
Number 55
5 \cdot 11
5 \cdot 11
Number 56
2 \cdot 2 \cdot 2 \cdot 7
{2^3} \cdot 7
Number 57
3 \cdot 19
3 \cdot 19
Number 58
2 \cdot 29
2 \cdot 29
Number 59
59
59
Number 60
2 \cdot 2 \cdot 3 \cdot 5
{2^2} \cdot 3 \cdot 5
Numbers 61 to 70
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 61
61
61
Number 62
2 \cdot 31
2 \cdot 31
Number 63
3 \cdot 3 \cdot 7
{3^2} \cdot 7
Number 64
2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2
{2^6}
Number 65
5 \cdot 13
5 \cdot 13
Number 66
2 \cdot 3 \cdot 11
2 \cdot 3 \cdot 11
Number 67
67
67
Number 68
{2^2} \cdot 17
{2^2} \cdot 17
Number 69
3 \cdot 23
3 \cdot 23
Number 70
2 \cdot 5 \cdot 7
2 \cdot 5 \cdot 7
Numbers 71 to 80
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 71
71
71
Number 72
2 \cdot 2 \cdot 2 \cdot 3 \cdot 3
{2^3} \cdot {3^2}
Number 73
73
73
Number 74
2 \cdot 37
2 \cdot 37
Number 75
3 \cdot 5 \cdot 5
3 \cdot {5^2}
Number 76
2 \cdot 2 \cdot 19
{2^2} \cdot 19
Number 77
7 \cdot 11
7 \cdot 11
Number 78
2 \cdot 3 \cdot 13
2 \cdot 3 \cdot 13
Number 79
79
79
Number 80
2 \cdot 2 \cdot 2 \cdot 2 \cdot 5
{2^4} \cdot 5
Numbers 81 to 90
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 81
3 \cdot 3 \cdot 3 \cdot 3
{3^4}
Number 82
2 \cdot 41
2 \cdot 41
Number 83
83
83
Number 84
2 \cdot 2 \cdot 3 \cdot 7
{2^2} \cdot 3 \cdot 7
Number 85
5 \cdot 17
5 \cdot 17
Number 86
2 \cdot 43
2 \cdot 43
Number 87
3 \cdot 29
3 \cdot 29
Number 88
2 \cdot 2 \cdot 2 \cdot 11
{2^3} \cdot 11
Number 89
89
89
Number 90
2 \cdot 3 \cdot 3 \cdot 5
2 \cdot {3^2} \cdot 5
Numbers 91 to 100
NUMBER
PRIME FACTORIZATION
PRIME FACTORIZATION USING EXPONENTS
Number 91
7 \cdot 13
7 \cdot 13
Number 92
2 \cdot 2 \cdot 23
{2^2} \cdot 23
Number 93
3 \cdot 31
3 \cdot 31
Number 94
2 \cdot 47
2 \cdot 47
Number 95
5 \cdot 19
5 \cdot 19
Number 96
2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3
{2^5} \cdot 3
Number 97
97
97
Number 98
2 \cdot 7 \cdot 7
2 \cdot 7 \cdot 7
Number 99
3 \cdot 3 \cdot 11
{3^2} \cdot 11
Number 100
2 \cdot 2 \cdot 5 \cdot 5
{2^2} \cdot {5^2}