A:
Positive:
1 x 10122300111 x 9202091149 x 679349151 x 670351409 x 2474891639 x 617591661 x 609414499 x 22499
Negative:
-1 x -101223001-11 x -9202091-149 x -679349-151 x -670351-409 x -247489-1639 x -61759-1661 x -60941-4499 x -22499
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 101,223,001, 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 | 101,223,001 | |
| -1 | -101,223,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,223,001.
Example:
1 x 101,223,001 = 101,223,001
and
-1 x -101,223,001 = 101,223,001
Notice both answers equal 101,223,001
With that explanation out of the way, let's continue. Next, we take the number 101,223,001 and divide it by 2:
101,223,001 ÷ 2 = 50,611,500.5
If the quotient is a whole number, then 2 and 50,611,500.5 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 | 101,223,001 | |
| -1 | -101,223,001 |
Now, we try dividing 101,223,001 by 3:
101,223,001 ÷ 3 = 33,741,000.3333
If the quotient is a whole number, then 3 and 33,741,000.3333 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 | 101,223,001 | |
| -1 | -101,223,001 |
Let's try dividing by 4:
101,223,001 ÷ 4 = 25,305,750.25
If the quotient is a whole number, then 4 and 25,305,750.25 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 | 101,223,001 | |
| -1 | 101,223,001 |
If you did it right, you will end up with this table:
| 1 | 11 | 149 | 151 | 409 | 1,639 | 1,661 | 4,499 | 22,499 | 60,941 | 61,759 | 247,489 | 670,351 | 679,349 | 9,202,091 | 101,223,001 |
| -1 | -11 | -149 | -151 | -409 | -1,639 | -1,661 | -4,499 | -22,499 | -60,941 | -61,759 | -247,489 | -670,351 | -679,349 | -9,202,091 | -101,223,001 |
Here are some more numbers to try:
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