A:
Positive:
1 x 5141173455 x 1028234697 x 7344533535 x 14689067107 x 4804835535 x 960967749 x 6864051283 x 4007153745 x 1372816415 x 801438981 x 5724511449 x 44905
Negative:
-1 x -514117345-5 x -102823469-7 x -73445335-35 x -14689067-107 x -4804835-535 x -960967-749 x -686405-1283 x -400715-3745 x -137281-6415 x -80143-8981 x -57245-11449 x -44905
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 514,117,345, 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 | 514,117,345 | |
| -1 | -514,117,345 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,117,345.
Example:
1 x 514,117,345 = 514,117,345
and
-1 x -514,117,345 = 514,117,345
Notice both answers equal 514,117,345
With that explanation out of the way, let's continue. Next, we take the number 514,117,345 and divide it by 2:
514,117,345 ÷ 2 = 257,058,672.5
If the quotient is a whole number, then 2 and 257,058,672.5 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 | 514,117,345 | |
| -1 | -514,117,345 |
Now, we try dividing 514,117,345 by 3:
514,117,345 ÷ 3 = 171,372,448.3333
If the quotient is a whole number, then 3 and 171,372,448.3333 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 | 514,117,345 | |
| -1 | -514,117,345 |
Let's try dividing by 4:
514,117,345 ÷ 4 = 128,529,336.25
If the quotient is a whole number, then 4 and 128,529,336.25 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 | 514,117,345 | |
| -1 | 514,117,345 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 107 | 535 | 749 | 1,283 | 3,745 | 6,415 | 8,981 | 11,449 | 44,905 | 57,245 | 80,143 | 137,281 | 400,715 | 686,405 | 960,967 | 4,804,835 | 14,689,067 | 73,445,335 | 102,823,469 | 514,117,345 |
| -1 | -5 | -7 | -35 | -107 | -535 | -749 | -1,283 | -3,745 | -6,415 | -8,981 | -11,449 | -44,905 | -57,245 | -80,143 | -137,281 | -400,715 | -686,405 | -960,967 | -4,804,835 | -14,689,067 | -73,445,335 | -102,823,469 | -514,117,345 |
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