Algebra Demystified 2nd Ed

472 ALGEBRA De MYSTiF ieD

DeMYSTiFieD / Algebra DeMYSTiFieD / Gibilisco / 000-0 / Appendix

Factor 1309.

The prime factors to check are 7, 11, 13, 17, 19, 23, 29, 31.

1309 ÷ 7 = 187

187 ÷ 11 = 17

1309 = 7 · 11 · 17

Factor 482.

The prime factors to check are 2, 3, 7, 11, 13, 17, 19.

482 ÷ 2 = 241

482 = 2 · 241

PRACTICE

Factor each number into its prime factorization.

1. 308


2. 136


3. 390


4. 196


5. 667


6. 609


7. 2679


8. 1595


9. 1287


10. 540

SOLUTIONS

1. 308 = 2 · 2 · 7 · 11


2. 136 = 2 · 2 · 2 · 17


3. 390 = 2 · 3 · 5 · 13


4. 196 = 2 · 2 · 7 · 7


5. 667 = 23 · 29


6. 609 = 3 · 7 · 29


7. 2679 = 3 · 19 · 47

PRACTICE

Factor each number into its prime factorization.