1. An integer with factors 2 and 5

Question

UpStudy AI · Accepted Answer

To find an integer that has factors 2 and 5, we can follow these steps:

1. **Understanding Factors**: If an integer has factors 2 and 5, it means that the integer can be expressed as a product of these factors. Specifically, the integer must be a multiple of both 2 and 5.

2. **Finding the Least Common Multiple (LCM)**: The least common multiple of 2 and 5 will give us the smallest integer that has both as factors. The LCM of two numbers is the smallest number that is a multiple of both.

3. **Calculating the LCM**:
   - The prime factorization of 2 is $$2^1$$.
   - The prime factorization of 5 is $$5^1$$.
   - The LCM is found by taking the highest power of each prime factor:
     $$
     \text{LCM}(2, 5) = 2^1 \times 5^1 = 10
     $$

4. **Conclusion**: The smallest integer that has both 2 and 5 as factors is 10. However, any multiple of 10 (like 20, 30, 40, etc.) will also have 2 and 5 as factors.

Thus, an integer with factors 2 and 5 is 10, and any integer of the form $$10n$$ where $$n$$ is an integer will also satisfy this condition.
An integer with factors 2 and 5 is 10.

An integer with factors 2 and 5

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions