A:
Positive:
1 x 51322410711 x 4665673729 x 1769738389 x 5766563319 x 1608853979 x 5242332581 x 19884718077 x 28391
Negative:
-1 x -513224107-11 x -46656737-29 x -17697383-89 x -5766563-319 x -1608853-979 x -524233-2581 x -198847-18077 x -28391
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 513,224,107, 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 | 513,224,107 | |
| -1 | -513,224,107 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 513,224,107.
Example:
1 x 513,224,107 = 513,224,107
and
-1 x -513,224,107 = 513,224,107
Notice both answers equal 513,224,107
With that explanation out of the way, let's continue. Next, we take the number 513,224,107 and divide it by 2:
513,224,107 ÷ 2 = 256,612,053.5
If the quotient is a whole number, then 2 and 256,612,053.5 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 | 513,224,107 | |
| -1 | -513,224,107 |
Now, we try dividing 513,224,107 by 3:
513,224,107 ÷ 3 = 171,074,702.3333
If the quotient is a whole number, then 3 and 171,074,702.3333 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 | 513,224,107 | |
| -1 | -513,224,107 |
Let's try dividing by 4:
513,224,107 ÷ 4 = 128,306,026.75
If the quotient is a whole number, then 4 and 128,306,026.75 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 | 513,224,107 | |
| -1 | 513,224,107 |
If you did it right, you will end up with this table:
| 1 | 11 | 29 | 89 | 319 | 979 | 2,581 | 18,077 | 28,391 | 198,847 | 524,233 | 1,608,853 | 5,766,563 | 17,697,383 | 46,656,737 | 513,224,107 |
| -1 | -11 | -29 | -89 | -319 | -979 | -2,581 | -18,077 | -28,391 | -198,847 | -524,233 | -1,608,853 | -5,766,563 | -17,697,383 | -46,656,737 | -513,224,107 |
Here are some more numbers to try:
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