A:
Positive:
1 x 1721307655 x 34426153101 x 1704265281 x 612565505 x 3408531213 x 1419051405 x 1225136065 x 28381
Negative:
-1 x -172130765-5 x -34426153-101 x -1704265-281 x -612565-505 x -340853-1213 x -141905-1405 x -122513-6065 x -28381
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 172,130,765, 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 | 172,130,765 | |
| -1 | -172,130,765 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 172,130,765.
Example:
1 x 172,130,765 = 172,130,765
and
-1 x -172,130,765 = 172,130,765
Notice both answers equal 172,130,765
With that explanation out of the way, let's continue. Next, we take the number 172,130,765 and divide it by 2:
172,130,765 ÷ 2 = 86,065,382.5
If the quotient is a whole number, then 2 and 86,065,382.5 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 | 172,130,765 | |
| -1 | -172,130,765 |
Now, we try dividing 172,130,765 by 3:
172,130,765 ÷ 3 = 57,376,921.6667
If the quotient is a whole number, then 3 and 57,376,921.6667 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 | 172,130,765 | |
| -1 | -172,130,765 |
Let's try dividing by 4:
172,130,765 ÷ 4 = 43,032,691.25
If the quotient is a whole number, then 4 and 43,032,691.25 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 | 172,130,765 | |
| -1 | 172,130,765 |
If you did it right, you will end up with this table:
| 1 | 5 | 101 | 281 | 505 | 1,213 | 1,405 | 6,065 | 28,381 | 122,513 | 141,905 | 340,853 | 612,565 | 1,704,265 | 34,426,153 | 172,130,765 |
| -1 | -5 | -101 | -281 | -505 | -1,213 | -1,405 | -6,065 | -28,381 | -122,513 | -141,905 | -340,853 | -612,565 | -1,704,265 | -34,426,153 | -172,130,765 |
Here are some more numbers to try:
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