A:
Positive:
1 x 51563331129 x 1778045971 x 7262441223 x 23122571123 x 4591572059 x 2504296467 x 7973315833 x 32567
Negative:
-1 x -515633311-29 x -17780459-71 x -7262441-223 x -2312257-1123 x -459157-2059 x -250429-6467 x -79733-15833 x -32567
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 515,633,311, 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 | 515,633,311 | |
| -1 | -515,633,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 515,633,311.
Example:
1 x 515,633,311 = 515,633,311
and
-1 x -515,633,311 = 515,633,311
Notice both answers equal 515,633,311
With that explanation out of the way, let's continue. Next, we take the number 515,633,311 and divide it by 2:
515,633,311 ÷ 2 = 257,816,655.5
If the quotient is a whole number, then 2 and 257,816,655.5 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 | 515,633,311 | |
| -1 | -515,633,311 |
Now, we try dividing 515,633,311 by 3:
515,633,311 ÷ 3 = 171,877,770.3333
If the quotient is a whole number, then 3 and 171,877,770.3333 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 | 515,633,311 | |
| -1 | -515,633,311 |
Let's try dividing by 4:
515,633,311 ÷ 4 = 128,908,327.75
If the quotient is a whole number, then 4 and 128,908,327.75 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 | 515,633,311 | |
| -1 | 515,633,311 |
If you did it right, you will end up with this table:
| 1 | 29 | 71 | 223 | 1,123 | 2,059 | 6,467 | 15,833 | 32,567 | 79,733 | 250,429 | 459,157 | 2,312,257 | 7,262,441 | 17,780,459 | 515,633,311 |
| -1 | -29 | -71 | -223 | -1,123 | -2,059 | -6,467 | -15,833 | -32,567 | -79,733 | -250,429 | -459,157 | -2,312,257 | -7,262,441 | -17,780,459 | -515,633,311 |
Here are some more numbers to try:
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