A:
Positive:
1 x 2728684077 x 3898120141 x 665532749 x 556874371 x 3843217287 x 950761497 x 5490311913 x 1426392009 x 1358232911 x 937373479 x 7843313391 x 20377
Negative:
-1 x -272868407-7 x -38981201-41 x -6655327-49 x -5568743-71 x -3843217-287 x -950761-497 x -549031-1913 x -142639-2009 x -135823-2911 x -93737-3479 x -78433-13391 x -20377
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 272,868,407, 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 | 272,868,407 | |
| -1 | -272,868,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 272,868,407.
Example:
1 x 272,868,407 = 272,868,407
and
-1 x -272,868,407 = 272,868,407
Notice both answers equal 272,868,407
With that explanation out of the way, let's continue. Next, we take the number 272,868,407 and divide it by 2:
272,868,407 ÷ 2 = 136,434,203.5
If the quotient is a whole number, then 2 and 136,434,203.5 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 | 272,868,407 | |
| -1 | -272,868,407 |
Now, we try dividing 272,868,407 by 3:
272,868,407 ÷ 3 = 90,956,135.6667
If the quotient is a whole number, then 3 and 90,956,135.6667 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 | 272,868,407 | |
| -1 | -272,868,407 |
Let's try dividing by 4:
272,868,407 ÷ 4 = 68,217,101.75
If the quotient is a whole number, then 4 and 68,217,101.75 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 | 272,868,407 | |
| -1 | 272,868,407 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 49 | 71 | 287 | 497 | 1,913 | 2,009 | 2,911 | 3,479 | 13,391 | 20,377 | 78,433 | 93,737 | 135,823 | 142,639 | 549,031 | 950,761 | 3,843,217 | 5,568,743 | 6,655,327 | 38,981,201 | 272,868,407 |
| -1 | -7 | -41 | -49 | -71 | -287 | -497 | -1,913 | -2,009 | -2,911 | -3,479 | -13,391 | -20,377 | -78,433 | -93,737 | -135,823 | -142,639 | -549,031 | -950,761 | -3,843,217 | -5,568,743 | -6,655,327 | -38,981,201 | -272,868,407 |
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