A:
Positive:
1 x 22110100111 x 2010009123 x 961308753 x 4171717121 x 1827281253 x 873917583 x 3792471219 x 1813791499 x 1474992783 x 794476413 x 3447713409 x 16489
Negative:
-1 x -221101001-11 x -20100091-23 x -9613087-53 x -4171717-121 x -1827281-253 x -873917-583 x -379247-1219 x -181379-1499 x -147499-2783 x -79447-6413 x -34477-13409 x -16489
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 221,101,001, 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 | 221,101,001 | |
| -1 | -221,101,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,101,001.
Example:
1 x 221,101,001 = 221,101,001
and
-1 x -221,101,001 = 221,101,001
Notice both answers equal 221,101,001
With that explanation out of the way, let's continue. Next, we take the number 221,101,001 and divide it by 2:
221,101,001 ÷ 2 = 110,550,500.5
If the quotient is a whole number, then 2 and 110,550,500.5 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 | 221,101,001 | |
| -1 | -221,101,001 |
Now, we try dividing 221,101,001 by 3:
221,101,001 ÷ 3 = 73,700,333.6667
If the quotient is a whole number, then 3 and 73,700,333.6667 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 | 221,101,001 | |
| -1 | -221,101,001 |
Let's try dividing by 4:
221,101,001 ÷ 4 = 55,275,250.25
If the quotient is a whole number, then 4 and 55,275,250.25 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 | 221,101,001 | |
| -1 | 221,101,001 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 53 | 121 | 253 | 583 | 1,219 | 1,499 | 2,783 | 6,413 | 13,409 | 16,489 | 34,477 | 79,447 | 147,499 | 181,379 | 379,247 | 873,917 | 1,827,281 | 4,171,717 | 9,613,087 | 20,100,091 | 221,101,001 |
| -1 | -11 | -23 | -53 | -121 | -253 | -583 | -1,219 | -1,499 | -2,783 | -6,413 | -13,409 | -16,489 | -34,477 | -79,447 | -147,499 | -181,379 | -379,247 | -873,917 | -1,827,281 | -4,171,717 | -9,613,087 | -20,100,091 | -221,101,001 |
Here are some more numbers to try:
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