A:
Positive:
1 x 5144633655 x 10289267313 x 3957410565 x 7914821211 x 24382151055 x 4876432743 x 18755513715 x 37511
Negative:
-1 x -514463365-5 x -102892673-13 x -39574105-65 x -7914821-211 x -2438215-1055 x -487643-2743 x -187555-13715 x -37511
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 514,463,365, 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 | 514,463,365 | |
| -1 | -514,463,365 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,463,365.
Example:
1 x 514,463,365 = 514,463,365
and
-1 x -514,463,365 = 514,463,365
Notice both answers equal 514,463,365
With that explanation out of the way, let's continue. Next, we take the number 514,463,365 and divide it by 2:
514,463,365 ÷ 2 = 257,231,682.5
If the quotient is a whole number, then 2 and 257,231,682.5 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 | 514,463,365 | |
| -1 | -514,463,365 |
Now, we try dividing 514,463,365 by 3:
514,463,365 ÷ 3 = 171,487,788.3333
If the quotient is a whole number, then 3 and 171,487,788.3333 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 | 514,463,365 | |
| -1 | -514,463,365 |
Let's try dividing by 4:
514,463,365 ÷ 4 = 128,615,841.25
If the quotient is a whole number, then 4 and 128,615,841.25 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 | 514,463,365 | |
| -1 | 514,463,365 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 211 | 1,055 | 2,743 | 13,715 | 37,511 | 187,555 | 487,643 | 2,438,215 | 7,914,821 | 39,574,105 | 102,892,673 | 514,463,365 |
| -1 | -5 | -13 | -65 | -211 | -1,055 | -2,743 | -13,715 | -37,511 | -187,555 | -487,643 | -2,438,215 | -7,914,821 | -39,574,105 | -102,892,673 | -514,463,365 |
Here are some more numbers to try:
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