2. Find at least two multiples and four factors for each: \( \begin{array}{lllll}\text { a) } 98 & \text { b) } 99 & \text { c) } 100 & \text { d) } 125 & \text { e) } 250\end{array} \)

To find multiples and factors for each of the given numbers, we will follow these steps: 1. **Multiples**: A multiple of a number \( n \) is obtained by multiplying \( n \) by integers (e.g., \( n \times 1, n \times 2, n \times 3, \ldots \)). 2. **Factors**: A factor of a number \( n \) is a number that divides \( n \) without leaving a remainder. Let's calculate the multiples and factors for each number: ### a) 98 - **Multiples**: - \( 98 \times 1 = 98 \) - \( 98 \times 2 = 196 \) - **Factors**: - \( 1, 2, 7, 14, 49, 98 \) (we can choose any four of these) ### b) 99 - **Multiples**: - \( 99 \times 1 = 99 \) - \( 99 \times 2 = 198 \) - **Factors**: - \( 1, 3, 9, 11, 33, 99 \) (we can choose any four of these) ### c) 100 - **Multiples**: - \( 100 \times 1 = 100 \) - \( 100 \times 2 = 200 \) - **Factors**: - \( 1, 2, 4, 5, 10, 20, 25, 50, 100 \) (we can choose any four of these) ### d) 125 - **Multiples**: - \( 125 \times 1 = 125 \) - \( 125 \times 2 = 250 \) - **Factors**: - \( 1, 5, 25, 125 \) (these are all the factors) ### e) 250 - **Multiples**: - \( 250 \times 1 = 250 \) - \( 250 \times 2 = 500 \) - **Factors**: - \( 1, 2, 5, 10, 25, 50, 125, 250 \) (we can choose any four of these) ### Summary - **a) 98**: Multiples: \( 98, 196 \); Factors: \( 1, 2, 7, 14 \) - **b) 99**: Multiples: \( 99, 198 \); Factors: \( 1, 3, 9, 11 \) - **c) 100**: Multiples: \( 100, 200 \); Factors: \( 1, 2, 4, 5 \) - **d) 125**: Multiples: \( 125, 250 \); Factors: \( 1, 5, 25, 125 \) - **e) 250**: Multiples: \( 250, 500 \); Factors: \( 1, 2, 5, 10 \) This provides at least two multiples and four factors for each of the specified numbers.