The set of factors of 40 displayed in a mathematical format

Let’s figure out the factors of 40 step by step.

Factors are numbers that divide evenly into another number — meaning, when you divide, there’s no remainder.

We start with 1 and go up to 40, checking which numbers divide 40 without leaving a remainder.

Step 1:
1 × 40 = 40 → So, 1 and 40 are factors.

Step 2:
2 × 20 = 40 → So, 2 and 20 are factors.

Step 3:
3? Let’s check: 40 ÷ 3 = 13.33… → Not a whole number → 3 is NOT a factor.

Step 4:
4 × 10 = 40 → So, 4 and 10 are factors.

Step 5:
5 × 8 = 40 → So, 5 and 8 are factors.

Step 6:
6? 40 ÷ 6 ≈ 6.67 → Not a whole number → Not a factor.

Step 7:
7? 40 ÷ 7 ≈ 5.71 → Not a whole number → Not a factor.

Step 8:
We already have 8 from above (5 × 8), so we can stop here because we’ve reached the middle.

Now let’s list all the factors we found in order:

1, 2, 4, 5, 8, 10, 20, 40

That’s 8 factors total.

Final Answer:
{1, 2, 4, 5, 8, 10, 20, 40}