A:
Positive:
1 x 100109455 x 20021897 x 143013529 x 34520535 x 28602749 x 204305145 x 69041203 x 49315245 x 408611015 x 98631409 x 71051421 x 7045
Negative:
-1 x -10010945-5 x -2002189-7 x -1430135-29 x -345205-35 x -286027-49 x -204305-145 x -69041-203 x -49315-245 x -40861-1015 x -9863-1409 x -7105-1421 x -7045
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 10,010,945, 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 | 10,010,945 | |
| -1 | -10,010,945 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,010,945.
Example:
1 x 10,010,945 = 10,010,945
and
-1 x -10,010,945 = 10,010,945
Notice both answers equal 10,010,945
With that explanation out of the way, let's continue. Next, we take the number 10,010,945 and divide it by 2:
10,010,945 ÷ 2 = 5,005,472.5
If the quotient is a whole number, then 2 and 5,005,472.5 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 | 10,010,945 | |
| -1 | -10,010,945 |
Now, we try dividing 10,010,945 by 3:
10,010,945 ÷ 3 = 3,336,981.6667
If the quotient is a whole number, then 3 and 3,336,981.6667 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 | 10,010,945 | |
| -1 | -10,010,945 |
Let's try dividing by 4:
10,010,945 ÷ 4 = 2,502,736.25
If the quotient is a whole number, then 4 and 2,502,736.25 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 | 10,010,945 | |
| -1 | 10,010,945 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 29 | 35 | 49 | 145 | 203 | 245 | 1,015 | 1,409 | 1,421 | 7,045 | 7,105 | 9,863 | 40,861 | 49,315 | 69,041 | 204,305 | 286,027 | 345,205 | 1,430,135 | 2,002,189 | 10,010,945 |
| -1 | -5 | -7 | -29 | -35 | -49 | -145 | -203 | -245 | -1,015 | -1,409 | -1,421 | -7,045 | -7,105 | -9,863 | -40,861 | -49,315 | -69,041 | -204,305 | -286,027 | -345,205 | -1,430,135 | -2,002,189 | -10,010,945 |
Here are some more numbers to try:
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