A:
Positive:
1 x 1060510113 x 81577741 x 258661101 x 105001197 x 53833533 x 198971313 x 80772561 x 4141
Negative:
-1 x -10605101-13 x -815777-41 x -258661-101 x -105001-197 x -53833-533 x -19897-1313 x -8077-2561 x -4141
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 10,605,101, 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 | 10,605,101 | |
| -1 | -10,605,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,605,101.
Example:
1 x 10,605,101 = 10,605,101
and
-1 x -10,605,101 = 10,605,101
Notice both answers equal 10,605,101
With that explanation out of the way, let's continue. Next, we take the number 10,605,101 and divide it by 2:
10,605,101 ÷ 2 = 5,302,550.5
If the quotient is a whole number, then 2 and 5,302,550.5 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 | 10,605,101 | |
| -1 | -10,605,101 |
Now, we try dividing 10,605,101 by 3:
10,605,101 ÷ 3 = 3,535,033.6667
If the quotient is a whole number, then 3 and 3,535,033.6667 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 | 10,605,101 | |
| -1 | -10,605,101 |
Let's try dividing by 4:
10,605,101 ÷ 4 = 2,651,275.25
If the quotient is a whole number, then 4 and 2,651,275.25 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 | 10,605,101 | |
| -1 | 10,605,101 |
If you did it right, you will end up with this table:
| 1 | 13 | 41 | 101 | 197 | 533 | 1,313 | 2,561 | 4,141 | 8,077 | 19,897 | 53,833 | 105,001 | 258,661 | 815,777 | 10,605,101 |
| -1 | -13 | -41 | -101 | -197 | -533 | -1,313 | -2,561 | -4,141 | -8,077 | -19,897 | -53,833 | -105,001 | -258,661 | -815,777 | -10,605,101 |
Here are some more numbers to try:
Try the factor calculator