# 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

$2 \cdot 2 \cdot 5 \cdot 5$

${2^2} \cdot {5^2}$