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.

NUMBER

PRIME FACTORIZATION

PRIME FACTORIZATION USING EXPONENTS


Numbers 2 to 10

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 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 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 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 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 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 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 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 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 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}