A:
Positive:
1 x 431200255 x 862400513 x 331692519 x 226947525 x 172480165 x 66338595 x 453895247 x 174575325 x 132677475 x 907791235 x 349156175 x 6983
Negative:
-1 x -43120025-5 x -8624005-13 x -3316925-19 x -2269475-25 x -1724801-65 x -663385-95 x -453895-247 x -174575-325 x -132677-475 x -90779-1235 x -34915-6175 x -6983
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 43,120,025, 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 | 43,120,025 | |
| -1 | -43,120,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 43,120,025.
Example:
1 x 43,120,025 = 43,120,025
and
-1 x -43,120,025 = 43,120,025
Notice both answers equal 43,120,025
With that explanation out of the way, let's continue. Next, we take the number 43,120,025 and divide it by 2:
43,120,025 ÷ 2 = 21,560,012.5
If the quotient is a whole number, then 2 and 21,560,012.5 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 | 43,120,025 | |
| -1 | -43,120,025 |
Now, we try dividing 43,120,025 by 3:
43,120,025 ÷ 3 = 14,373,341.6667
If the quotient is a whole number, then 3 and 14,373,341.6667 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 | 43,120,025 | |
| -1 | -43,120,025 |
Let's try dividing by 4:
43,120,025 ÷ 4 = 10,780,006.25
If the quotient is a whole number, then 4 and 10,780,006.25 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 | 43,120,025 | |
| -1 | 43,120,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 19 | 25 | 65 | 95 | 247 | 325 | 475 | 1,235 | 6,175 | 6,983 | 34,915 | 90,779 | 132,677 | 174,575 | 453,895 | 663,385 | 1,724,801 | 2,269,475 | 3,316,925 | 8,624,005 | 43,120,025 |
| -1 | -5 | -13 | -19 | -25 | -65 | -95 | -247 | -325 | -475 | -1,235 | -6,175 | -6,983 | -34,915 | -90,779 | -132,677 | -174,575 | -453,895 | -663,385 | -1,724,801 | -2,269,475 | -3,316,925 | -8,624,005 | -43,120,025 |
Here are some more numbers to try:
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