factors of 4(r+5) and factors of 9(r+13)

To find the factors of the expressions \(4(r + 5)\) and \(9(r + 13)\), we will break each expression down into its components.

Factors of \(4(r + 5)\)

1. Identify the components:

   • The expression can be rewritten as a product: \(4 \times (r + 5)\).

2. Factor the individual components:

   • The number 4 can be factored as \(2 \times 2\) or simply written as \(4\).
   • The expression \(r + 5\) is already in its simplest form.

3. Overall factors:

   • The factors of \(4(r + 5)\) are \(4\), \(r + 5\), \(2\), and \(2\) (if you consider the breakdown of 4).

Factors of \(9(r + 13)\)

1. Identify the components:

   • This expression can also be rewritten as a product: \(9 \times (r + 13)\).

2. Factor the individual components:

   • The number 9 can be factored as \(3 \times 3\) or simply written as \(9\).
   • Similar to the previous case, \(r + 13\) is in its simplest form.

3. Overall factors:

   • The factors of \(9(r + 13)\) are \(9\), \(r + 13\), \(3\), and \(3\) (if you consider the breakdown of 9).

Summary

• Factors of \(4(r + 5)\): \(4\), \(r + 5\), \(2\), and \(2\)
• Factors of \(9(r + 13)\): \(9\), \(r + 13\), \(3\), and \(3\)

If you need further assistance or specific additional information about factoring or other topics, feel free to ask!