Question

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

Answer 1

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 \(3\)

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