A:
Positive:
1 x 1026220923 x 44618331 x 33103937 x 277357389 x 26381713 x 14393851 x 120591147 x 8947
Negative:
-1 x -10262209-23 x -446183-31 x -331039-37 x -277357-389 x -26381-713 x -14393-851 x -12059-1147 x -8947
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 10,262,209, 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 | 10,262,209 | |
| -1 | -10,262,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,262,209.
Example:
1 x 10,262,209 = 10,262,209
and
-1 x -10,262,209 = 10,262,209
Notice both answers equal 10,262,209
With that explanation out of the way, let's continue. Next, we take the number 10,262,209 and divide it by 2:
10,262,209 ÷ 2 = 5,131,104.5
If the quotient is a whole number, then 2 and 5,131,104.5 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 | 10,262,209 | |
| -1 | -10,262,209 |
Now, we try dividing 10,262,209 by 3:
10,262,209 ÷ 3 = 3,420,736.3333
If the quotient is a whole number, then 3 and 3,420,736.3333 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 | 10,262,209 | |
| -1 | -10,262,209 |
Let's try dividing by 4:
10,262,209 ÷ 4 = 2,565,552.25
If the quotient is a whole number, then 4 and 2,565,552.25 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 | 10,262,209 | |
| -1 | 10,262,209 |
If you did it right, you will end up with this table:
| 1 | 23 | 31 | 37 | 389 | 713 | 851 | 1,147 | 8,947 | 12,059 | 14,393 | 26,381 | 277,357 | 331,039 | 446,183 | 10,262,209 |
| -1 | -23 | -31 | -37 | -389 | -713 | -851 | -1,147 | -8,947 | -12,059 | -14,393 | -26,381 | -277,357 | -331,039 | -446,183 | -10,262,209 |
Here are some more numbers to try:
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