Factors & Prime Factorization

Prime Factorization

100

10

5 x 2

200

12

2 x 2 x 3

or 

2² x 3

300

16

2 x 2 x 2 x 2

or

2⁴

400

20

2 x 2 x 5

or

2² x 5

500

36

2 x 2 x 3 x 3

or

2² x 3²

600

42

2 x 3 x 7

700

96

2 x 2 x 2 x 2 x 2 x 3

or

2⁵ x 3

Prime Factorization (Challenging)

100

120

2 x 2 x 2 x 3 x 5

or

2³ x 3 x 5

200

100

2 x 2 x 5 x 5

or 

2² x 5²

300

150

2 x 3 x 5 x 5

or

2 x 3 x 5²

400

210

2 x 3 x 5 x 7

500

360

2 x 2 x 2 x 3 x 3 x 5

or

2³ x 3² x 5

600

450

2 x 3 x 3 x 5 x 5

or

2 x 3² x 5²

700

960

2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

or

2⁶ x 3 x 5

Simplifying Prime Factorization

100

2 x 2

2²

200

3 x 3 x 3

3³

300

2 x 2 x 3

2³ x 3

400

2 x 2 x 2 x 3 x 3

2³ x 3²

500

2 x 2 x 3 x 5

2² x 3 x 5

600

2 x 2 x 3 x 5 x 5

2² x 3 x 5²

700

2 x 3 x 3 x 5 x 5 x 5 x 7

2 x 3² x 5³ x 7

Prime Factorization to Composite (w/ Exponents)

100

2² x 3

12

200

3²

9

300

2³ x 3

24

400

2 x 5²

50

500

2³ x 3² x 5

360

600

2⁴ x 5

80

700

2² x 3² x 5²

900

FindingFactors

100

List all possible factors of 17.

1, 17

200

List all possible factors of 25.

(There are two pairs of factors in total)

25, 1

5, 5

300

List all possible factors of 49.

(There are two pairs of factors in total)

1, 49

7, 7

400

List all possible factors of 50.

(There are three pairs of factors in total)

1, 50

2, 25

5, 10

500

List all possible factors of 45.

(There are three pairs of factors in total)

1, 45

3, 15

5, 9

600

List all possible factors of 16.

(There are three pairs of factors in total)

1, 16

2, 8

4, 4

700

List all possible factors of 36.

(There are five pairs of factors in total)

1, 36

2, 18

3, 12

4, 9

6, 6