A:
Positive:
1 x 102112017 x 145874311 x 92829113 x 78547777 x 13261391 x 112211101 x 101101143 x 71407707 x 144431001 x 102011111 x 91911313 x 7777
Negative:
-1 x -10211201-7 x -1458743-11 x -928291-13 x -785477-77 x -132613-91 x -112211-101 x -101101-143 x -71407-707 x -14443-1001 x -10201-1111 x -9191-1313 x -7777
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 10,211,201, 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 | 10,211,201 | |
| -1 | -10,211,201 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,211,201.
Example:
1 x 10,211,201 = 10,211,201
and
-1 x -10,211,201 = 10,211,201
Notice both answers equal 10,211,201
With that explanation out of the way, let's continue. Next, we take the number 10,211,201 and divide it by 2:
10,211,201 ÷ 2 = 5,105,600.5
If the quotient is a whole number, then 2 and 5,105,600.5 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 | 10,211,201 | |
| -1 | -10,211,201 |
Now, we try dividing 10,211,201 by 3:
10,211,201 ÷ 3 = 3,403,733.6667
If the quotient is a whole number, then 3 and 3,403,733.6667 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 | 10,211,201 | |
| -1 | -10,211,201 |
Let's try dividing by 4:
10,211,201 ÷ 4 = 2,552,800.25
If the quotient is a whole number, then 4 and 2,552,800.25 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 | 10,211,201 | |
| -1 | 10,211,201 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 101 | 143 | 707 | 1,001 | 1,111 | 1,313 | 7,777 | 9,191 | 10,201 | 14,443 | 71,407 | 101,101 | 112,211 | 132,613 | 785,477 | 928,291 | 1,458,743 | 10,211,201 |
| -1 | -7 | -11 | -13 | -77 | -91 | -101 | -143 | -707 | -1,001 | -1,111 | -1,313 | -7,777 | -9,191 | -10,201 | -14,443 | -71,407 | -101,101 | -112,211 | -132,613 | -785,477 | -928,291 | -1,458,743 | -10,211,201 |
Here are some more numbers to try:
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