A:
Positive:
1 x 364450255 x 728900517 x 214382525 x 145780129 x 125672585 x 428765145 x 251345425 x 85753493 x 73925725 x 502692465 x 147852957 x 12325
Negative:
-1 x -36445025-5 x -7289005-17 x -2143825-25 x -1457801-29 x -1256725-85 x -428765-145 x -251345-425 x -85753-493 x -73925-725 x -50269-2465 x -14785-2957 x -12325
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 36,445,025, 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 | 36,445,025 | |
| -1 | -36,445,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 36,445,025.
Example:
1 x 36,445,025 = 36,445,025
and
-1 x -36,445,025 = 36,445,025
Notice both answers equal 36,445,025
With that explanation out of the way, let's continue. Next, we take the number 36,445,025 and divide it by 2:
36,445,025 ÷ 2 = 18,222,512.5
If the quotient is a whole number, then 2 and 18,222,512.5 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 | 36,445,025 | |
| -1 | -36,445,025 |
Now, we try dividing 36,445,025 by 3:
36,445,025 ÷ 3 = 12,148,341.6667
If the quotient is a whole number, then 3 and 12,148,341.6667 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 | 36,445,025 | |
| -1 | -36,445,025 |
Let's try dividing by 4:
36,445,025 ÷ 4 = 9,111,256.25
If the quotient is a whole number, then 4 and 9,111,256.25 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 | 36,445,025 | |
| -1 | 36,445,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 29 | 85 | 145 | 425 | 493 | 725 | 2,465 | 2,957 | 12,325 | 14,785 | 50,269 | 73,925 | 85,753 | 251,345 | 428,765 | 1,256,725 | 1,457,801 | 2,143,825 | 7,289,005 | 36,445,025 |
| -1 | -5 | -17 | -25 | -29 | -85 | -145 | -425 | -493 | -725 | -2,465 | -2,957 | -12,325 | -14,785 | -50,269 | -73,925 | -85,753 | -251,345 | -428,765 | -1,256,725 | -1,457,801 | -2,143,825 | -7,289,005 | -36,445,025 |
Here are some more numbers to try:
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