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Tips on Factoring Practice Problems

By — McGraw-Hill Professional
Updated on Sep 27, 2011

Tips on Factoring Practice Problems

Set 1: Factoring Tips - Identifying the Prime Factors

To review a few facts on factoring, go to Tips on Factoring.

Practice

List the prime numbers to check.

  1. 166
  2. 401
  3. 84
  4. 136
  5. 465

Solutions

  1. 166: The list of prime numbers to check are 2, 7, 11.
  2. 401: The list of prime numbers to check are 7, 11, 13, 17, 19.
  3. 84: The list of prime numbers to check are 2, 3, 7.
  4. 136: The list of prime numbers to check are 2, 7, 11.
  5. 465: The list of prime numbers to check are 3, 5, 7, 11, 13, 17, 19.

Set 2: Factoring Tips - Prime Factorization

To review prime factors, go to Tips on Factoring.

Practice

Factor each number into its prime factors.

  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
  8. 1595 = 5 × 11 × 29
  9. 1287 = 3 × 3 × 11 × 13
  10. 540 = 2 × 2 × 3 × 3 × 3 × 5
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