A:
Positive:
1 x 22642203111 x 2058382117 x 1331894319 x 11916949187 x 1210813209 x 1083359323 x 7009973553 x 63727
Negative:
-1 x -226422031-11 x -20583821-17 x -13318943-19 x -11916949-187 x -1210813-209 x -1083359-323 x -700997-3553 x -63727
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 226,422,031, 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 | 226,422,031 | |
| -1 | -226,422,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 226,422,031.
Example:
1 x 226,422,031 = 226,422,031
and
-1 x -226,422,031 = 226,422,031
Notice both answers equal 226,422,031
With that explanation out of the way, let's continue. Next, we take the number 226,422,031 and divide it by 2:
226,422,031 ÷ 2 = 113,211,015.5
If the quotient is a whole number, then 2 and 113,211,015.5 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 | 226,422,031 | |
| -1 | -226,422,031 |
Now, we try dividing 226,422,031 by 3:
226,422,031 ÷ 3 = 75,474,010.3333
If the quotient is a whole number, then 3 and 75,474,010.3333 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 | 226,422,031 | |
| -1 | -226,422,031 |
Let's try dividing by 4:
226,422,031 ÷ 4 = 56,605,507.75
If the quotient is a whole number, then 4 and 56,605,507.75 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 | 226,422,031 | |
| -1 | 226,422,031 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 19 | 187 | 209 | 323 | 3,553 | 63,727 | 700,997 | 1,083,359 | 1,210,813 | 11,916,949 | 13,318,943 | 20,583,821 | 226,422,031 |
| -1 | -11 | -17 | -19 | -187 | -209 | -323 | -3,553 | -63,727 | -700,997 | -1,083,359 | -1,210,813 | -11,916,949 | -13,318,943 | -20,583,821 | -226,422,031 |
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