A:
Positive:
1 x 771171255 x 1542342525 x 3084685125 x 616937587 x 1313751051 x 733752935 x 262755255 x 14675
Negative:
-1 x -77117125-5 x -15423425-25 x -3084685-125 x -616937-587 x -131375-1051 x -73375-2935 x -26275-5255 x -14675
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 77,117,125, 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 | 77,117,125 | |
| -1 | -77,117,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 77,117,125.
Example:
1 x 77,117,125 = 77,117,125
and
-1 x -77,117,125 = 77,117,125
Notice both answers equal 77,117,125
With that explanation out of the way, let's continue. Next, we take the number 77,117,125 and divide it by 2:
77,117,125 ÷ 2 = 38,558,562.5
If the quotient is a whole number, then 2 and 38,558,562.5 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 | 77,117,125 | |
| -1 | -77,117,125 |
Now, we try dividing 77,117,125 by 3:
77,117,125 ÷ 3 = 25,705,708.3333
If the quotient is a whole number, then 3 and 25,705,708.3333 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 | 77,117,125 | |
| -1 | -77,117,125 |
Let's try dividing by 4:
77,117,125 ÷ 4 = 19,279,281.25
If the quotient is a whole number, then 4 and 19,279,281.25 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 | 77,117,125 | |
| -1 | 77,117,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 587 | 1,051 | 2,935 | 5,255 | 14,675 | 26,275 | 73,375 | 131,375 | 616,937 | 3,084,685 | 15,423,425 | 77,117,125 |
| -1 | -5 | -25 | -125 | -587 | -1,051 | -2,935 | -5,255 | -14,675 | -26,275 | -73,375 | -131,375 | -616,937 | -3,084,685 | -15,423,425 | -77,117,125 |
Here are some more numbers to try:
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