A:
Positive:
1 x 42130255 x 84260517 x 24782523 x 18317525 x 16852185 x 49565115 x 36635391 x 10775425 x 9913431 x 9775575 x 73271955 x 2155
Negative:
-1 x -4213025-5 x -842605-17 x -247825-23 x -183175-25 x -168521-85 x -49565-115 x -36635-391 x -10775-425 x -9913-431 x -9775-575 x -7327-1955 x -2155
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 4,213,025, 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 | 4,213,025 | |
| -1 | -4,213,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,213,025.
Example:
1 x 4,213,025 = 4,213,025
and
-1 x -4,213,025 = 4,213,025
Notice both answers equal 4,213,025
With that explanation out of the way, let's continue. Next, we take the number 4,213,025 and divide it by 2:
4,213,025 ÷ 2 = 2,106,512.5
If the quotient is a whole number, then 2 and 2,106,512.5 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 | 4,213,025 | |
| -1 | -4,213,025 |
Now, we try dividing 4,213,025 by 3:
4,213,025 ÷ 3 = 1,404,341.6667
If the quotient is a whole number, then 3 and 1,404,341.6667 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 | 4,213,025 | |
| -1 | -4,213,025 |
Let's try dividing by 4:
4,213,025 ÷ 4 = 1,053,256.25
If the quotient is a whole number, then 4 and 1,053,256.25 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 | 4,213,025 | |
| -1 | 4,213,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 23 | 25 | 85 | 115 | 391 | 425 | 431 | 575 | 1,955 | 2,155 | 7,327 | 9,775 | 9,913 | 10,775 | 36,635 | 49,565 | 168,521 | 183,175 | 247,825 | 842,605 | 4,213,025 |
| -1 | -5 | -17 | -23 | -25 | -85 | -115 | -391 | -425 | -431 | -575 | -1,955 | -2,155 | -7,327 | -9,775 | -9,913 | -10,775 | -36,635 | -49,565 | -168,521 | -183,175 | -247,825 | -842,605 | -4,213,025 |
Here are some more numbers to try:
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