A:
Positive:
1 x 1010231313 x 77710123 x 439231113 x 89401169 x 59777299 x 33787529 x 190971469 x 68772599 x 3887
Negative:
-1 x -10102313-13 x -777101-23 x -439231-113 x -89401-169 x -59777-299 x -33787-529 x -19097-1469 x -6877-2599 x -3887
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 10,102,313, 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 | 10,102,313 | |
| -1 | -10,102,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,102,313.
Example:
1 x 10,102,313 = 10,102,313
and
-1 x -10,102,313 = 10,102,313
Notice both answers equal 10,102,313
With that explanation out of the way, let's continue. Next, we take the number 10,102,313 and divide it by 2:
10,102,313 ÷ 2 = 5,051,156.5
If the quotient is a whole number, then 2 and 5,051,156.5 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 | 10,102,313 | |
| -1 | -10,102,313 |
Now, we try dividing 10,102,313 by 3:
10,102,313 ÷ 3 = 3,367,437.6667
If the quotient is a whole number, then 3 and 3,367,437.6667 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 | 10,102,313 | |
| -1 | -10,102,313 |
Let's try dividing by 4:
10,102,313 ÷ 4 = 2,525,578.25
If the quotient is a whole number, then 4 and 2,525,578.25 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 | 10,102,313 | |
| -1 | 10,102,313 |
If you did it right, you will end up with this table:
| 1 | 13 | 23 | 113 | 169 | 299 | 529 | 1,469 | 2,599 | 3,887 | 6,877 | 19,097 | 33,787 | 59,777 | 89,401 | 439,231 | 777,101 | 10,102,313 |
| -1 | -13 | -23 | -113 | -169 | -299 | -529 | -1,469 | -2,599 | -3,887 | -6,877 | -19,097 | -33,787 | -59,777 | -89,401 | -439,231 | -777,101 | -10,102,313 |
Here are some more numbers to try:
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