A:
Positive:
1 x 31240255 x 62480525 x 12496129 x 10772531 x 100775139 x 22475145 x 21545155 x 20155695 x 4495725 x 4309775 x 4031899 x 3475
Negative:
-1 x -3124025-5 x -624805-25 x -124961-29 x -107725-31 x -100775-139 x -22475-145 x -21545-155 x -20155-695 x -4495-725 x -4309-775 x -4031-899 x -3475
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 3,124,025, 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 | 3,124,025 | |
| -1 | -3,124,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,124,025.
Example:
1 x 3,124,025 = 3,124,025
and
-1 x -3,124,025 = 3,124,025
Notice both answers equal 3,124,025
With that explanation out of the way, let's continue. Next, we take the number 3,124,025 and divide it by 2:
3,124,025 ÷ 2 = 1,562,012.5
If the quotient is a whole number, then 2 and 1,562,012.5 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 | 3,124,025 | |
| -1 | -3,124,025 |
Now, we try dividing 3,124,025 by 3:
3,124,025 ÷ 3 = 1,041,341.6667
If the quotient is a whole number, then 3 and 1,041,341.6667 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 | 3,124,025 | |
| -1 | -3,124,025 |
Let's try dividing by 4:
3,124,025 ÷ 4 = 781,006.25
If the quotient is a whole number, then 4 and 781,006.25 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 | 3,124,025 | |
| -1 | 3,124,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 31 | 139 | 145 | 155 | 695 | 725 | 775 | 899 | 3,475 | 4,031 | 4,309 | 4,495 | 20,155 | 21,545 | 22,475 | 100,775 | 107,725 | 124,961 | 624,805 | 3,124,025 |
| -1 | -5 | -25 | -29 | -31 | -139 | -145 | -155 | -695 | -725 | -775 | -899 | -3,475 | -4,031 | -4,309 | -4,495 | -20,155 | -21,545 | -22,475 | -100,775 | -107,725 | -124,961 | -624,805 | -3,124,025 |
Here are some more numbers to try:
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