A:
Positive:
1 x 1010013137 x 14428759101 x 1000013373 x 270781383 x 263711707 x 1428592611 x 386832681 x 37673
Negative:
-1 x -101001313-7 x -14428759-101 x -1000013-373 x -270781-383 x -263711-707 x -142859-2611 x -38683-2681 x -37673
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 101,001,313, 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 | 101,001,313 | |
| -1 | -101,001,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,001,313.
Example:
1 x 101,001,313 = 101,001,313
and
-1 x -101,001,313 = 101,001,313
Notice both answers equal 101,001,313
With that explanation out of the way, let's continue. Next, we take the number 101,001,313 and divide it by 2:
101,001,313 ÷ 2 = 50,500,656.5
If the quotient is a whole number, then 2 and 50,500,656.5 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 | 101,001,313 | |
| -1 | -101,001,313 |
Now, we try dividing 101,001,313 by 3:
101,001,313 ÷ 3 = 33,667,104.3333
If the quotient is a whole number, then 3 and 33,667,104.3333 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 | 101,001,313 | |
| -1 | -101,001,313 |
Let's try dividing by 4:
101,001,313 ÷ 4 = 25,250,328.25
If the quotient is a whole number, then 4 and 25,250,328.25 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 | 101,001,313 | |
| -1 | 101,001,313 |
If you did it right, you will end up with this table:
| 1 | 7 | 101 | 373 | 383 | 707 | 2,611 | 2,681 | 37,673 | 38,683 | 142,859 | 263,711 | 270,781 | 1,000,013 | 14,428,759 | 101,001,313 |
| -1 | -7 | -101 | -373 | -383 | -707 | -2,611 | -2,681 | -37,673 | -38,683 | -142,859 | -263,711 | -270,781 | -1,000,013 | -14,428,759 | -101,001,313 |
Here are some more numbers to try:
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