A:
Positive:
1 x 5071041437 x 7244344913 x 3900801191 x 5572573271 x 18712331897 x 2673193523 x 14394120563 x 24661
Negative:
-1 x -507104143-7 x -72443449-13 x -39008011-91 x -5572573-271 x -1871233-1897 x -267319-3523 x -143941-20563 x -24661
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 507,104,143, 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 | 507,104,143 | |
| -1 | -507,104,143 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 507,104,143.
Example:
1 x 507,104,143 = 507,104,143
and
-1 x -507,104,143 = 507,104,143
Notice both answers equal 507,104,143
With that explanation out of the way, let's continue. Next, we take the number 507,104,143 and divide it by 2:
507,104,143 ÷ 2 = 253,552,071.5
If the quotient is a whole number, then 2 and 253,552,071.5 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 | 507,104,143 | |
| -1 | -507,104,143 |
Now, we try dividing 507,104,143 by 3:
507,104,143 ÷ 3 = 169,034,714.3333
If the quotient is a whole number, then 3 and 169,034,714.3333 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 | 507,104,143 | |
| -1 | -507,104,143 |
Let's try dividing by 4:
507,104,143 ÷ 4 = 126,776,035.75
If the quotient is a whole number, then 4 and 126,776,035.75 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 | 507,104,143 | |
| -1 | 507,104,143 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 271 | 1,897 | 3,523 | 20,563 | 24,661 | 143,941 | 267,319 | 1,871,233 | 5,572,573 | 39,008,011 | 72,443,449 | 507,104,143 |
| -1 | -7 | -13 | -91 | -271 | -1,897 | -3,523 | -20,563 | -24,661 | -143,941 | -267,319 | -1,871,233 | -5,572,573 | -39,008,011 | -72,443,449 | -507,104,143 |
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