A:
Positive:
1 x 5171521555 x 10343043113 x 3978093517 x 3042071565 x 795618785 x 6084143221 x 23400551105 x 468011
Negative:
-1 x -517152155-5 x -103430431-13 x -39780935-17 x -30420715-65 x -7956187-85 x -6084143-221 x -2340055-1105 x -468011
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 517,152,155, 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 | 517,152,155 | |
| -1 | -517,152,155 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 517,152,155.
Example:
1 x 517,152,155 = 517,152,155
and
-1 x -517,152,155 = 517,152,155
Notice both answers equal 517,152,155
With that explanation out of the way, let's continue. Next, we take the number 517,152,155 and divide it by 2:
517,152,155 ÷ 2 = 258,576,077.5
If the quotient is a whole number, then 2 and 258,576,077.5 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 | 517,152,155 | |
| -1 | -517,152,155 |
Now, we try dividing 517,152,155 by 3:
517,152,155 ÷ 3 = 172,384,051.6667
If the quotient is a whole number, then 3 and 172,384,051.6667 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 | 517,152,155 | |
| -1 | -517,152,155 |
Let's try dividing by 4:
517,152,155 ÷ 4 = 129,288,038.75
If the quotient is a whole number, then 4 and 129,288,038.75 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 | 517,152,155 | |
| -1 | 517,152,155 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 17 | 65 | 85 | 221 | 1,105 | 468,011 | 2,340,055 | 6,084,143 | 7,956,187 | 30,420,715 | 39,780,935 | 103,430,431 | 517,152,155 |
| -1 | -5 | -13 | -17 | -65 | -85 | -221 | -1,105 | -468,011 | -2,340,055 | -6,084,143 | -7,956,187 | -30,420,715 | -39,780,935 | -103,430,431 | -517,152,155 |
Here are some more numbers to try:
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