A:
Positive:
1 x 101201055 x 202402131 x 326455109 x 92845155 x 65291545 x 18569599 x 168952995 x 3379
Negative:
-1 x -10120105-5 x -2024021-31 x -326455-109 x -92845-155 x -65291-545 x -18569-599 x -16895-2995 x -3379
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 10,120,105, 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 | 10,120,105 | |
| -1 | -10,120,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,120,105.
Example:
1 x 10,120,105 = 10,120,105
and
-1 x -10,120,105 = 10,120,105
Notice both answers equal 10,120,105
With that explanation out of the way, let's continue. Next, we take the number 10,120,105 and divide it by 2:
10,120,105 ÷ 2 = 5,060,052.5
If the quotient is a whole number, then 2 and 5,060,052.5 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 | 10,120,105 | |
| -1 | -10,120,105 |
Now, we try dividing 10,120,105 by 3:
10,120,105 ÷ 3 = 3,373,368.3333
If the quotient is a whole number, then 3 and 3,373,368.3333 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 | 10,120,105 | |
| -1 | -10,120,105 |
Let's try dividing by 4:
10,120,105 ÷ 4 = 2,530,026.25
If the quotient is a whole number, then 4 and 2,530,026.25 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 | 10,120,105 | |
| -1 | 10,120,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 109 | 155 | 545 | 599 | 2,995 | 3,379 | 16,895 | 18,569 | 65,291 | 92,845 | 326,455 | 2,024,021 | 10,120,105 |
| -1 | -5 | -31 | -109 | -155 | -545 | -599 | -2,995 | -3,379 | -16,895 | -18,569 | -65,291 | -92,845 | -326,455 | -2,024,021 | -10,120,105 |
Here are some more numbers to try:
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