A:
Positive:
1 x 5144324155 x 1028864837 x 7349034535 x 14698069131 x 3926965655 x 785393917 x 5609954585 x 112199
Negative:
-1 x -514432415-5 x -102886483-7 x -73490345-35 x -14698069-131 x -3926965-655 x -785393-917 x -560995-4585 x -112199
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 514,432,415, 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 | 514,432,415 | |
| -1 | -514,432,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,432,415.
Example:
1 x 514,432,415 = 514,432,415
and
-1 x -514,432,415 = 514,432,415
Notice both answers equal 514,432,415
With that explanation out of the way, let's continue. Next, we take the number 514,432,415 and divide it by 2:
514,432,415 ÷ 2 = 257,216,207.5
If the quotient is a whole number, then 2 and 257,216,207.5 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 | 514,432,415 | |
| -1 | -514,432,415 |
Now, we try dividing 514,432,415 by 3:
514,432,415 ÷ 3 = 171,477,471.6667
If the quotient is a whole number, then 3 and 171,477,471.6667 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 | 514,432,415 | |
| -1 | -514,432,415 |
Let's try dividing by 4:
514,432,415 ÷ 4 = 128,608,103.75
If the quotient is a whole number, then 4 and 128,608,103.75 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 | 514,432,415 | |
| -1 | 514,432,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 131 | 655 | 917 | 4,585 | 112,199 | 560,995 | 785,393 | 3,926,965 | 14,698,069 | 73,490,345 | 102,886,483 | 514,432,415 |
| -1 | -5 | -7 | -35 | -131 | -655 | -917 | -4,585 | -112,199 | -560,995 | -785,393 | -3,926,965 | -14,698,069 | -73,490,345 | -102,886,483 | -514,432,415 |
Here are some more numbers to try:
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