A:
Positive:
1 x 3141045255 x 628209057 x 4487207525 x 1256418135 x 897441547 x 6683075175 x 1794883235 x 1336615329 x 9547251175 x 2673231645 x 1909458225 x 38189
Negative:
-1 x -314104525-5 x -62820905-7 x -44872075-25 x -12564181-35 x -8974415-47 x -6683075-175 x -1794883-235 x -1336615-329 x -954725-1175 x -267323-1645 x -190945-8225 x -38189
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 314,104,525, 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 | 314,104,525 | |
| -1 | -314,104,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,104,525.
Example:
1 x 314,104,525 = 314,104,525
and
-1 x -314,104,525 = 314,104,525
Notice both answers equal 314,104,525
With that explanation out of the way, let's continue. Next, we take the number 314,104,525 and divide it by 2:
314,104,525 ÷ 2 = 157,052,262.5
If the quotient is a whole number, then 2 and 157,052,262.5 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 | 314,104,525 | |
| -1 | -314,104,525 |
Now, we try dividing 314,104,525 by 3:
314,104,525 ÷ 3 = 104,701,508.3333
If the quotient is a whole number, then 3 and 104,701,508.3333 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 | 314,104,525 | |
| -1 | -314,104,525 |
Let's try dividing by 4:
314,104,525 ÷ 4 = 78,526,131.25
If the quotient is a whole number, then 4 and 78,526,131.25 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 | 314,104,525 | |
| -1 | 314,104,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 47 | 175 | 235 | 329 | 1,175 | 1,645 | 8,225 | 38,189 | 190,945 | 267,323 | 954,725 | 1,336,615 | 1,794,883 | 6,683,075 | 8,974,415 | 12,564,181 | 44,872,075 | 62,820,905 | 314,104,525 |
| -1 | -5 | -7 | -25 | -35 | -47 | -175 | -235 | -329 | -1,175 | -1,645 | -8,225 | -38,189 | -190,945 | -267,323 | -954,725 | -1,336,615 | -1,794,883 | -6,683,075 | -8,974,415 | -12,564,181 | -44,872,075 | -62,820,905 | -314,104,525 |
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