A:
Positive:
1 x 1531102097 x 2187288731 x 493903967 x 2285227217 x 705577469 x 3264612077 x 7371710531 x 14539
Negative:
-1 x -153110209-7 x -21872887-31 x -4939039-67 x -2285227-217 x -705577-469 x -326461-2077 x -73717-10531 x -14539
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 153,110,209, 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 | 153,110,209 | |
| -1 | -153,110,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 153,110,209.
Example:
1 x 153,110,209 = 153,110,209
and
-1 x -153,110,209 = 153,110,209
Notice both answers equal 153,110,209
With that explanation out of the way, let's continue. Next, we take the number 153,110,209 and divide it by 2:
153,110,209 ÷ 2 = 76,555,104.5
If the quotient is a whole number, then 2 and 76,555,104.5 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 | 153,110,209 | |
| -1 | -153,110,209 |
Now, we try dividing 153,110,209 by 3:
153,110,209 ÷ 3 = 51,036,736.3333
If the quotient is a whole number, then 3 and 51,036,736.3333 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 | 153,110,209 | |
| -1 | -153,110,209 |
Let's try dividing by 4:
153,110,209 ÷ 4 = 38,277,552.25
If the quotient is a whole number, then 4 and 38,277,552.25 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 | 153,110,209 | |
| -1 | 153,110,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 67 | 217 | 469 | 2,077 | 10,531 | 14,539 | 73,717 | 326,461 | 705,577 | 2,285,227 | 4,939,039 | 21,872,887 | 153,110,209 |
| -1 | -7 | -31 | -67 | -217 | -469 | -2,077 | -10,531 | -14,539 | -73,717 | -326,461 | -705,577 | -2,285,227 | -4,939,039 | -21,872,887 | -153,110,209 |
Here are some more numbers to try:
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