A:
Positive:
1 x 101010055 x 202020147 x 21491553 x 190585235 x 42983265 x 38117811 x 124552491 x 4055
Negative:
-1 x -10101005-5 x -2020201-47 x -214915-53 x -190585-235 x -42983-265 x -38117-811 x -12455-2491 x -4055
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 10,101,005, 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 | 10,101,005 | |
| -1 | -10,101,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,101,005.
Example:
1 x 10,101,005 = 10,101,005
and
-1 x -10,101,005 = 10,101,005
Notice both answers equal 10,101,005
With that explanation out of the way, let's continue. Next, we take the number 10,101,005 and divide it by 2:
10,101,005 ÷ 2 = 5,050,502.5
If the quotient is a whole number, then 2 and 5,050,502.5 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 | 10,101,005 | |
| -1 | -10,101,005 |
Now, we try dividing 10,101,005 by 3:
10,101,005 ÷ 3 = 3,367,001.6667
If the quotient is a whole number, then 3 and 3,367,001.6667 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 | 10,101,005 | |
| -1 | -10,101,005 |
Let's try dividing by 4:
10,101,005 ÷ 4 = 2,525,251.25
If the quotient is a whole number, then 4 and 2,525,251.25 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 | 10,101,005 | |
| -1 | 10,101,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 53 | 235 | 265 | 811 | 2,491 | 4,055 | 12,455 | 38,117 | 42,983 | 190,585 | 214,915 | 2,020,201 | 10,101,005 |
| -1 | -5 | -47 | -53 | -235 | -265 | -811 | -2,491 | -4,055 | -12,455 | -38,117 | -42,983 | -190,585 | -214,915 | -2,020,201 | -10,101,005 |
Here are some more numbers to try:
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