A:
Positive:
1 x 1010744911 x 91885919 x 531971137 x 73777209 x 48361353 x 286331507 x 67072603 x 3883
Negative:
-1 x -10107449-11 x -918859-19 x -531971-137 x -73777-209 x -48361-353 x -28633-1507 x -6707-2603 x -3883
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 10,107,449, 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 | 10,107,449 | |
| -1 | -10,107,449 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,107,449.
Example:
1 x 10,107,449 = 10,107,449
and
-1 x -10,107,449 = 10,107,449
Notice both answers equal 10,107,449
With that explanation out of the way, let's continue. Next, we take the number 10,107,449 and divide it by 2:
10,107,449 ÷ 2 = 5,053,724.5
If the quotient is a whole number, then 2 and 5,053,724.5 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 | 10,107,449 | |
| -1 | -10,107,449 |
Now, we try dividing 10,107,449 by 3:
10,107,449 ÷ 3 = 3,369,149.6667
If the quotient is a whole number, then 3 and 3,369,149.6667 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 | 10,107,449 | |
| -1 | -10,107,449 |
Let's try dividing by 4:
10,107,449 ÷ 4 = 2,526,862.25
If the quotient is a whole number, then 4 and 2,526,862.25 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 | 10,107,449 | |
| -1 | 10,107,449 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 137 | 209 | 353 | 1,507 | 2,603 | 3,883 | 6,707 | 28,633 | 48,361 | 73,777 | 531,971 | 918,859 | 10,107,449 |
| -1 | -11 | -19 | -137 | -209 | -353 | -1,507 | -2,603 | -3,883 | -6,707 | -28,633 | -48,361 | -73,777 | -531,971 | -918,859 | -10,107,449 |
Here are some more numbers to try:
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