Certainly, let’s find the factors of 250 and provide an explanation.

**Factors of 250:**

Factors of a number are the integers that can be multiplied together to give the original number. In the case of 250, we’re looking for pairs of numbers that, when multiplied, result in 250.

The factors of 250 are:

1, 2, 5, 10, 25, 50, 125, 250

**Explanation:**

**1**: Every integer is divisible by 1.**2**: 250 is an even number, so it’s divisible by 2.**5**: 250 ends in 0 or 5, which means it’s divisible by 5.**10**: Since both 2 and 5 are factors of 250, their product 2 * 5 = 10 is also a factor.**25**: 250 is divisible by 25 because it’s a multiple of 25.**50**: Similar to 10, 50 is a multiple of both 2 and 25, making it a factor of 250.**125**: 250 is a multiple of 125 as well.**250**: Every number is a factor of itself.

These factors can be combined to form factor pairs, such as (1, 250), (2, 125), (5, 50), and (10, 25). These pairs of factors, when multiplied, give the original number 250.

In summary, the factors of 250 are numbers that evenly divide 250 without leaving a remainder. They include both smaller and larger integers that, when multiplied together, result in the product 250. These factors play a significant role in various mathematical operations and applications.