A:
Positive:
1 x 1001143255 x 2002286519 x 526917525 x 400457395 x 1053835361 x 277325475 x 2107671805 x 554659025 x 11093
Negative:
-1 x -100114325-5 x -20022865-19 x -5269175-25 x -4004573-95 x -1053835-361 x -277325-475 x -210767-1805 x -55465-9025 x -11093
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 100,114,325, 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 | 100,114,325 | |
| -1 | -100,114,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,114,325.
Example:
1 x 100,114,325 = 100,114,325
and
-1 x -100,114,325 = 100,114,325
Notice both answers equal 100,114,325
With that explanation out of the way, let's continue. Next, we take the number 100,114,325 and divide it by 2:
100,114,325 ÷ 2 = 50,057,162.5
If the quotient is a whole number, then 2 and 50,057,162.5 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 | 100,114,325 | |
| -1 | -100,114,325 |
Now, we try dividing 100,114,325 by 3:
100,114,325 ÷ 3 = 33,371,441.6667
If the quotient is a whole number, then 3 and 33,371,441.6667 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 | 100,114,325 | |
| -1 | -100,114,325 |
Let's try dividing by 4:
100,114,325 ÷ 4 = 25,028,581.25
If the quotient is a whole number, then 4 and 25,028,581.25 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 | 100,114,325 | |
| -1 | 100,114,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 361 | 475 | 1,805 | 9,025 | 11,093 | 55,465 | 210,767 | 277,325 | 1,053,835 | 4,004,573 | 5,269,175 | 20,022,865 | 100,114,325 |
| -1 | -5 | -19 | -25 | -95 | -361 | -475 | -1,805 | -9,025 | -11,093 | -55,465 | -210,767 | -277,325 | -1,053,835 | -4,004,573 | -5,269,175 | -20,022,865 | -100,114,325 |
Here are some more numbers to try:
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