A:
Positive:
1 x 1372540197 x 1960771731 x 442754941 x 3347659217 x 632507287 x 4782371271 x 1079898897 x 15427
Negative:
-1 x -137254019-7 x -19607717-31 x -4427549-41 x -3347659-217 x -632507-287 x -478237-1271 x -107989-8897 x -15427
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 137,254,019, 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 | 137,254,019 | |
| -1 | -137,254,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 137,254,019.
Example:
1 x 137,254,019 = 137,254,019
and
-1 x -137,254,019 = 137,254,019
Notice both answers equal 137,254,019
With that explanation out of the way, let's continue. Next, we take the number 137,254,019 and divide it by 2:
137,254,019 ÷ 2 = 68,627,009.5
If the quotient is a whole number, then 2 and 68,627,009.5 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 | 137,254,019 | |
| -1 | -137,254,019 |
Now, we try dividing 137,254,019 by 3:
137,254,019 ÷ 3 = 45,751,339.6667
If the quotient is a whole number, then 3 and 45,751,339.6667 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 | 137,254,019 | |
| -1 | -137,254,019 |
Let's try dividing by 4:
137,254,019 ÷ 4 = 34,313,504.75
If the quotient is a whole number, then 4 and 34,313,504.75 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 | 137,254,019 | |
| -1 | 137,254,019 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 41 | 217 | 287 | 1,271 | 8,897 | 15,427 | 107,989 | 478,237 | 632,507 | 3,347,659 | 4,427,549 | 19,607,717 | 137,254,019 |
| -1 | -7 | -31 | -41 | -217 | -287 | -1,271 | -8,897 | -15,427 | -107,989 | -478,237 | -632,507 | -3,347,659 | -4,427,549 | -19,607,717 | -137,254,019 |
Here are some more numbers to try:
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