A:
Positive:
1 x 10035440919 x 528181131 x 323723967 x 1497827589 x 1703811273 x 788332077 x 483172543 x 39463
Negative:
-1 x -100354409-19 x -5281811-31 x -3237239-67 x -1497827-589 x -170381-1273 x -78833-2077 x -48317-2543 x -39463
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 100,354,409, 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 | 100,354,409 | |
| -1 | -100,354,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,354,409.
Example:
1 x 100,354,409 = 100,354,409
and
-1 x -100,354,409 = 100,354,409
Notice both answers equal 100,354,409
With that explanation out of the way, let's continue. Next, we take the number 100,354,409 and divide it by 2:
100,354,409 ÷ 2 = 50,177,204.5
If the quotient is a whole number, then 2 and 50,177,204.5 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 | 100,354,409 | |
| -1 | -100,354,409 |
Now, we try dividing 100,354,409 by 3:
100,354,409 ÷ 3 = 33,451,469.6667
If the quotient is a whole number, then 3 and 33,451,469.6667 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 | 100,354,409 | |
| -1 | -100,354,409 |
Let's try dividing by 4:
100,354,409 ÷ 4 = 25,088,602.25
If the quotient is a whole number, then 4 and 25,088,602.25 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 | 100,354,409 | |
| -1 | 100,354,409 |
If you did it right, you will end up with this table:
| 1 | 19 | 31 | 67 | 589 | 1,273 | 2,077 | 2,543 | 39,463 | 48,317 | 78,833 | 170,381 | 1,497,827 | 3,237,239 | 5,281,811 | 100,354,409 |
| -1 | -19 | -31 | -67 | -589 | -1,273 | -2,077 | -2,543 | -39,463 | -48,317 | -78,833 | -170,381 | -1,497,827 | -3,237,239 | -5,281,811 | -100,354,409 |
Here are some more numbers to try:
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