A:
Positive:
1 x 401013977 x 572877123 x 1743539161 x 249077233 x 1721091069 x 375131631 x 245875359 x 7483
Negative:
-1 x -40101397-7 x -5728771-23 x -1743539-161 x -249077-233 x -172109-1069 x -37513-1631 x -24587-5359 x -7483
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 40,101,397, 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 | 40,101,397 | |
| -1 | -40,101,397 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,101,397.
Example:
1 x 40,101,397 = 40,101,397
and
-1 x -40,101,397 = 40,101,397
Notice both answers equal 40,101,397
With that explanation out of the way, let's continue. Next, we take the number 40,101,397 and divide it by 2:
40,101,397 ÷ 2 = 20,050,698.5
If the quotient is a whole number, then 2 and 20,050,698.5 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 | 40,101,397 | |
| -1 | -40,101,397 |
Now, we try dividing 40,101,397 by 3:
40,101,397 ÷ 3 = 13,367,132.3333
If the quotient is a whole number, then 3 and 13,367,132.3333 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 | 40,101,397 | |
| -1 | -40,101,397 |
Let's try dividing by 4:
40,101,397 ÷ 4 = 10,025,349.25
If the quotient is a whole number, then 4 and 10,025,349.25 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 | 40,101,397 | |
| -1 | 40,101,397 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 161 | 233 | 1,069 | 1,631 | 5,359 | 7,483 | 24,587 | 37,513 | 172,109 | 249,077 | 1,743,539 | 5,728,771 | 40,101,397 |
| -1 | -7 | -23 | -161 | -233 | -1,069 | -1,631 | -5,359 | -7,483 | -24,587 | -37,513 | -172,109 | -249,077 | -1,743,539 | -5,728,771 | -40,101,397 |
Here are some more numbers to try:
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