Sure! Let's solve this step-by-step:
1. Understand the Problem:
- We know the product of two factors is 490.
- One of the factors is given as 7.
- We need to find the other factor.
2. Recall the Definition of Multiplication:
- Multiplication is a mathematical operation where you combine equal groups. In other words, if the product is the result of multiplying two numbers (factors), you can find one factor if you know the product and the other factor.
3. Set Up the Equation:
- We are given that the product of the two factors is 490. We can represent this as:
[tex]\[ \text{7} \times \text{(other factor)} = 490 \][/tex]
4. Solve the Equation:
- To find the unknown factor, we need to isolate it on one side of the equation. This can be done by dividing both sides of the equation by the known factor, which is 7:
[tex]\[ \text{other factor} = \frac{490}{7} \][/tex]
5. Calculate the Division:
- When you divide 490 by 7, you get:
[tex]\[ \frac{490}{7} = 70 \][/tex]
6. Verify Your Solution:
- You can verify this by multiplying the found factor back by 7 to check if you get the original product:
[tex]\[ 70 \times 7 = 490 \][/tex]
Hence, the other factor is 70.
