A:
Positive:
1 x 1013152217 x 1447360347 x 2155643101 x 1003121329 x 307949707 x 1433033049 x 332294747 x 21343
Negative:
-1 x -101315221-7 x -14473603-47 x -2155643-101 x -1003121-329 x -307949-707 x -143303-3049 x -33229-4747 x -21343
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 101,315,221, 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 | 101,315,221 | |
| -1 | -101,315,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,315,221.
Example:
1 x 101,315,221 = 101,315,221
and
-1 x -101,315,221 = 101,315,221
Notice both answers equal 101,315,221
With that explanation out of the way, let's continue. Next, we take the number 101,315,221 and divide it by 2:
101,315,221 ÷ 2 = 50,657,610.5
If the quotient is a whole number, then 2 and 50,657,610.5 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 | 101,315,221 | |
| -1 | -101,315,221 |
Now, we try dividing 101,315,221 by 3:
101,315,221 ÷ 3 = 33,771,740.3333
If the quotient is a whole number, then 3 and 33,771,740.3333 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 | 101,315,221 | |
| -1 | -101,315,221 |
Let's try dividing by 4:
101,315,221 ÷ 4 = 25,328,805.25
If the quotient is a whole number, then 4 and 25,328,805.25 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 | 101,315,221 | |
| -1 | 101,315,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 47 | 101 | 329 | 707 | 3,049 | 4,747 | 21,343 | 33,229 | 143,303 | 307,949 | 1,003,121 | 2,155,643 | 14,473,603 | 101,315,221 |
| -1 | -7 | -47 | -101 | -329 | -707 | -3,049 | -4,747 | -21,343 | -33,229 | -143,303 | -307,949 | -1,003,121 | -2,155,643 | -14,473,603 | -101,315,221 |
Here are some more numbers to try:
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