A:
Positive:
1 x 10133542111 x 9212311101 x 1003321197 x 514393463 x 2188671111 x 912112167 x 467635093 x 19897
Negative:
-1 x -101335421-11 x -9212311-101 x -1003321-197 x -514393-463 x -218867-1111 x -91211-2167 x -46763-5093 x -19897
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 101,335,421, 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 | 101,335,421 | |
| -1 | -101,335,421 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,335,421.
Example:
1 x 101,335,421 = 101,335,421
and
-1 x -101,335,421 = 101,335,421
Notice both answers equal 101,335,421
With that explanation out of the way, let's continue. Next, we take the number 101,335,421 and divide it by 2:
101,335,421 ÷ 2 = 50,667,710.5
If the quotient is a whole number, then 2 and 50,667,710.5 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 | 101,335,421 | |
| -1 | -101,335,421 |
Now, we try dividing 101,335,421 by 3:
101,335,421 ÷ 3 = 33,778,473.6667
If the quotient is a whole number, then 3 and 33,778,473.6667 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 | 101,335,421 | |
| -1 | -101,335,421 |
Let's try dividing by 4:
101,335,421 ÷ 4 = 25,333,855.25
If the quotient is a whole number, then 4 and 25,333,855.25 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 | 101,335,421 | |
| -1 | 101,335,421 |
If you did it right, you will end up with this table:
| 1 | 11 | 101 | 197 | 463 | 1,111 | 2,167 | 5,093 | 19,897 | 46,763 | 91,211 | 218,867 | 514,393 | 1,003,321 | 9,212,311 | 101,335,421 |
| -1 | -11 | -101 | -197 | -463 | -1,111 | -2,167 | -5,093 | -19,897 | -46,763 | -91,211 | -218,867 | -514,393 | -1,003,321 | -9,212,311 | -101,335,421 |
Here are some more numbers to try:
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