A:
Positive:
1 x 51167735311 x 4651612319 x 26930387209 x 2448217419 x 12211874609 x 1110175843 x 875717961 x 64273
Negative:
-1 x -511677353-11 x -46516123-19 x -26930387-209 x -2448217-419 x -1221187-4609 x -111017-5843 x -87571-7961 x -64273
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 511,677,353, 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 | 511,677,353 | |
| -1 | -511,677,353 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 511,677,353.
Example:
1 x 511,677,353 = 511,677,353
and
-1 x -511,677,353 = 511,677,353
Notice both answers equal 511,677,353
With that explanation out of the way, let's continue. Next, we take the number 511,677,353 and divide it by 2:
511,677,353 ÷ 2 = 255,838,676.5
If the quotient is a whole number, then 2 and 255,838,676.5 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 | 511,677,353 | |
| -1 | -511,677,353 |
Now, we try dividing 511,677,353 by 3:
511,677,353 ÷ 3 = 170,559,117.6667
If the quotient is a whole number, then 3 and 170,559,117.6667 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 | 511,677,353 | |
| -1 | -511,677,353 |
Let's try dividing by 4:
511,677,353 ÷ 4 = 127,919,338.25
If the quotient is a whole number, then 4 and 127,919,338.25 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 | 511,677,353 | |
| -1 | 511,677,353 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 209 | 419 | 4,609 | 5,843 | 7,961 | 64,273 | 87,571 | 111,017 | 1,221,187 | 2,448,217 | 26,930,387 | 46,516,123 | 511,677,353 |
| -1 | -11 | -19 | -209 | -419 | -4,609 | -5,843 | -7,961 | -64,273 | -87,571 | -111,017 | -1,221,187 | -2,448,217 | -26,930,387 | -46,516,123 | -511,677,353 |
Here are some more numbers to try:
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