A:
Positive:
1 x 2510051155 x 5020102367 x 3746345241 x 1041515335 x 7492691205 x 2083033109 x 8073515545 x 16147
Negative:
-1 x -251005115-5 x -50201023-67 x -3746345-241 x -1041515-335 x -749269-1205 x -208303-3109 x -80735-15545 x -16147
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 251,005,115, 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 | 251,005,115 | |
| -1 | -251,005,115 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 251,005,115.
Example:
1 x 251,005,115 = 251,005,115
and
-1 x -251,005,115 = 251,005,115
Notice both answers equal 251,005,115
With that explanation out of the way, let's continue. Next, we take the number 251,005,115 and divide it by 2:
251,005,115 ÷ 2 = 125,502,557.5
If the quotient is a whole number, then 2 and 125,502,557.5 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 | 251,005,115 | |
| -1 | -251,005,115 |
Now, we try dividing 251,005,115 by 3:
251,005,115 ÷ 3 = 83,668,371.6667
If the quotient is a whole number, then 3 and 83,668,371.6667 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 | 251,005,115 | |
| -1 | -251,005,115 |
Let's try dividing by 4:
251,005,115 ÷ 4 = 62,751,278.75
If the quotient is a whole number, then 4 and 62,751,278.75 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 | 251,005,115 | |
| -1 | 251,005,115 |
If you did it right, you will end up with this table:
| 1 | 5 | 67 | 241 | 335 | 1,205 | 3,109 | 15,545 | 16,147 | 80,735 | 208,303 | 749,269 | 1,041,515 | 3,746,345 | 50,201,023 | 251,005,115 |
| -1 | -5 | -67 | -241 | -335 | -1,205 | -3,109 | -15,545 | -16,147 | -80,735 | -208,303 | -749,269 | -1,041,515 | -3,746,345 | -50,201,023 | -251,005,115 |
Here are some more numbers to try:
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