A:
Positive:
1 x 105313255 x 21062657 x 150447525 x 42125335 x 30089549 x 214925175 x 60179245 x 429851225 x 8597
Negative:
-1 x -10531325-5 x -2106265-7 x -1504475-25 x -421253-35 x -300895-49 x -214925-175 x -60179-245 x -42985-1225 x -8597
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 10,531,325, 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 | 10,531,325 | |
| -1 | -10,531,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,531,325.
Example:
1 x 10,531,325 = 10,531,325
and
-1 x -10,531,325 = 10,531,325
Notice both answers equal 10,531,325
With that explanation out of the way, let's continue. Next, we take the number 10,531,325 and divide it by 2:
10,531,325 ÷ 2 = 5,265,662.5
If the quotient is a whole number, then 2 and 5,265,662.5 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 | 10,531,325 | |
| -1 | -10,531,325 |
Now, we try dividing 10,531,325 by 3:
10,531,325 ÷ 3 = 3,510,441.6667
If the quotient is a whole number, then 3 and 3,510,441.6667 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 | 10,531,325 | |
| -1 | -10,531,325 |
Let's try dividing by 4:
10,531,325 ÷ 4 = 2,632,831.25
If the quotient is a whole number, then 4 and 2,632,831.25 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 | 10,531,325 | |
| -1 | 10,531,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 175 | 245 | 1,225 | 8,597 | 42,985 | 60,179 | 214,925 | 300,895 | 421,253 | 1,504,475 | 2,106,265 | 10,531,325 |
| -1 | -5 | -7 | -25 | -35 | -49 | -175 | -245 | -1,225 | -8,597 | -42,985 | -60,179 | -214,925 | -300,895 | -421,253 | -1,504,475 | -2,106,265 | -10,531,325 |
Here are some more numbers to try:
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