A:
Positive:
1 x 21142220929 x 7290421113 x 1870993149 x 1418941433 x 4882733277 x 645174321 x 4892912557 x 16837
Negative:
-1 x -211422209-29 x -7290421-113 x -1870993-149 x -1418941-433 x -488273-3277 x -64517-4321 x -48929-12557 x -16837
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 211,422,209, 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 | 211,422,209 | |
| -1 | -211,422,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,422,209.
Example:
1 x 211,422,209 = 211,422,209
and
-1 x -211,422,209 = 211,422,209
Notice both answers equal 211,422,209
With that explanation out of the way, let's continue. Next, we take the number 211,422,209 and divide it by 2:
211,422,209 ÷ 2 = 105,711,104.5
If the quotient is a whole number, then 2 and 105,711,104.5 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 | 211,422,209 | |
| -1 | -211,422,209 |
Now, we try dividing 211,422,209 by 3:
211,422,209 ÷ 3 = 70,474,069.6667
If the quotient is a whole number, then 3 and 70,474,069.6667 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 | 211,422,209 | |
| -1 | -211,422,209 |
Let's try dividing by 4:
211,422,209 ÷ 4 = 52,855,552.25
If the quotient is a whole number, then 4 and 52,855,552.25 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 | 211,422,209 | |
| -1 | 211,422,209 |
If you did it right, you will end up with this table:
| 1 | 29 | 113 | 149 | 433 | 3,277 | 4,321 | 12,557 | 16,837 | 48,929 | 64,517 | 488,273 | 1,418,941 | 1,870,993 | 7,290,421 | 211,422,209 |
| -1 | -29 | -113 | -149 | -433 | -3,277 | -4,321 | -12,557 | -16,837 | -48,929 | -64,517 | -488,273 | -1,418,941 | -1,870,993 | -7,290,421 | -211,422,209 |
Here are some more numbers to try:
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