Math Problem Statement

List the factor pairs of the numbers: 65, 22, 56, 32, 45, 54, 36, 63, 100, 81, 28, 76, 52, 88, 71, 91.

Solution

The image you uploaded contains a list of numbers for which you are asked to find the factor pairs. Here are the factor pairs for each number listed:

  1. 65
    Factor pairs: (1, 65), (5, 13)

  2. 22
    Factor pairs: (1, 22), (2, 11)

  3. 56
    Factor pairs: (1, 56), (2, 28), (4, 14), (7, 8)

  4. 32
    Factor pairs: (1, 32), (2, 16), (4, 8)

  5. 45
    Factor pairs: (1, 45), (3, 15), (5, 9)

  6. 54
    Factor pairs: (1, 54), (2, 27), (3, 18), (6, 9)

  7. 36
    Factor pairs: (1, 36), (2, 18), (3, 12), (4, 9), (6, 6)

  8. 63
    Factor pairs: (1, 63), (3, 21), (7, 9)

  9. 100
    Factor pairs: (1, 100), (2, 50), (4, 25), (5, 20), (10, 10)

  10. 81
    Factor pairs: (1, 81), (3, 27), (9, 9)

  11. 28
    Factor pairs: (1, 28), (2, 14), (4, 7)

  12. 76
    Factor pairs: (1, 76), (2, 38), (4, 19)

  13. 52
    Factor pairs: (1, 52), (2, 26), (4, 13)

  14. 88
    Factor pairs: (1, 88), (2, 44), (4, 22), (8, 11)

  15. 71
    Factor pairs: (1, 71)

  16. 91
    Factor pairs: (1, 91), (7, 13)

Would you like further details on how these factor pairs are calculated, or do you have any other questions?

Here are some related questions to expand your understanding:

  1. What are prime numbers, and how can you identify them from a list?
  2. How can factor pairs help in solving quadratic equations?
  3. What is the significance of square numbers when listing factor pairs?
  4. How do you determine the greatest common factor (GCF) using factor pairs?
  5. Can factor pairs be used to simplify fractions? How?

Tip: When looking for factor pairs, start by checking divisibility with smaller prime numbers like 2, 3, 5, etc., to quickly identify potential pairs.

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Math Problem Analysis

Mathematical Concepts

Factorization
Multiplication
Prime Numbers

Formulas

Finding Factor Pairs by Division

Theorems

Fundamental Theorem of Arithmetic

Suitable Grade Level

Grades 5-7