A:
Positive:
1 x 13517274111 x 1228843129 x 466112931 x 4360411319 x 423739341 x 396401899 x 1503599889 x 13669
Negative:
-1 x -135172741-11 x -12288431-29 x -4661129-31 x -4360411-319 x -423739-341 x -396401-899 x -150359-9889 x -13669
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 135,172,741, 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 | 135,172,741 | |
| -1 | -135,172,741 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 135,172,741.
Example:
1 x 135,172,741 = 135,172,741
and
-1 x -135,172,741 = 135,172,741
Notice both answers equal 135,172,741
With that explanation out of the way, let's continue. Next, we take the number 135,172,741 and divide it by 2:
135,172,741 ÷ 2 = 67,586,370.5
If the quotient is a whole number, then 2 and 67,586,370.5 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 | 135,172,741 | |
| -1 | -135,172,741 |
Now, we try dividing 135,172,741 by 3:
135,172,741 ÷ 3 = 45,057,580.3333
If the quotient is a whole number, then 3 and 45,057,580.3333 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 | 135,172,741 | |
| -1 | -135,172,741 |
Let's try dividing by 4:
135,172,741 ÷ 4 = 33,793,185.25
If the quotient is a whole number, then 4 and 33,793,185.25 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 | 135,172,741 | |
| -1 | 135,172,741 |
If you did it right, you will end up with this table:
| 1 | 11 | 29 | 31 | 319 | 341 | 899 | 9,889 | 13,669 | 150,359 | 396,401 | 423,739 | 4,360,411 | 4,661,129 | 12,288,431 | 135,172,741 |
| -1 | -11 | -29 | -31 | -319 | -341 | -899 | -9,889 | -13,669 | -150,359 | -396,401 | -423,739 | -4,360,411 | -4,661,129 | -12,288,431 | -135,172,741 |
Here are some more numbers to try:
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