A:
Positive:
1 x 386755 x 77357 x 552513 x 297517 x 227525 x 154735 x 110565 x 59585 x 45591 x 425119 x 325175 x 221
Negative:
-1 x -38675-5 x -7735-7 x -5525-13 x -2975-17 x -2275-25 x -1547-35 x -1105-65 x -595-85 x -455-91 x -425-119 x -325-175 x -221
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 38,675, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 38,675 | |
| -1 | -38,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 38,675.
Example:
1 x 38,675 = 38,675
and
-1 x -38,675 = 38,675
Notice both answers equal 38,675
With that explanation out of the way, let's continue. Next, we take the number 38,675 and divide it by 2:
38,675 ÷ 2 = 19,337.5
If the quotient is a whole number, then 2 and 19,337.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 38,675 | |
| -1 | -38,675 |
Now, we try dividing 38,675 by 3:
38,675 ÷ 3 = 12,891.6667
If the quotient is a whole number, then 3 and 12,891.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 38,675 | |
| -1 | -38,675 |
Let's try dividing by 4:
38,675 ÷ 4 = 9,668.75
If the quotient is a whole number, then 4 and 9,668.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 38,675 | |
| -1 | 38,675 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 17 | 25 | 35 | 65 | 85 | 91 | 119 | 175 | 221 | 325 | 425 | 455 | 595 | 1,105 | 1,547 | 2,275 | 2,975 | 5,525 | 7,735 | 38,675 |
| -1 | -5 | -7 | -13 | -17 | -25 | -35 | -65 | -85 | -91 | -119 | -175 | -221 | -325 | -425 | -455 | -595 | -1,105 | -1,547 | -2,275 | -2,975 | -5,525 | -7,735 | -38,675 |
Here are some more numbers to try:
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