A:
Positive:
1 x 37827001311 x 3438818373 x 5181781139 x 2721367803 x 4710711529 x 2473973389 x 11161710147 x 37279
Negative:
-1 x -378270013-11 x -34388183-73 x -5181781-139 x -2721367-803 x -471071-1529 x -247397-3389 x -111617-10147 x -37279
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 378,270,013, 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 | 378,270,013 | |
| -1 | -378,270,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 378,270,013.
Example:
1 x 378,270,013 = 378,270,013
and
-1 x -378,270,013 = 378,270,013
Notice both answers equal 378,270,013
With that explanation out of the way, let's continue. Next, we take the number 378,270,013 and divide it by 2:
378,270,013 ÷ 2 = 189,135,006.5
If the quotient is a whole number, then 2 and 189,135,006.5 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 | 378,270,013 | |
| -1 | -378,270,013 |
Now, we try dividing 378,270,013 by 3:
378,270,013 ÷ 3 = 126,090,004.3333
If the quotient is a whole number, then 3 and 126,090,004.3333 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 | 378,270,013 | |
| -1 | -378,270,013 |
Let's try dividing by 4:
378,270,013 ÷ 4 = 94,567,503.25
If the quotient is a whole number, then 4 and 94,567,503.25 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 | 378,270,013 | |
| -1 | 378,270,013 |
If you did it right, you will end up with this table:
| 1 | 11 | 73 | 139 | 803 | 1,529 | 3,389 | 10,147 | 37,279 | 111,617 | 247,397 | 471,071 | 2,721,367 | 5,181,781 | 34,388,183 | 378,270,013 |
| -1 | -11 | -73 | -139 | -803 | -1,529 | -3,389 | -10,147 | -37,279 | -111,617 | -247,397 | -471,071 | -2,721,367 | -5,181,781 | -34,388,183 | -378,270,013 |
Here are some more numbers to try:
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