A:
Positive:
1 x 1001615055 x 2003230129 x 3453845113 x 886385145 x 690769565 x 1772773277 x 305656113 x 16385
Negative:
-1 x -100161505-5 x -20032301-29 x -3453845-113 x -886385-145 x -690769-565 x -177277-3277 x -30565-6113 x -16385
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 100,161,505, 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 | 100,161,505 | |
| -1 | -100,161,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,161,505.
Example:
1 x 100,161,505 = 100,161,505
and
-1 x -100,161,505 = 100,161,505
Notice both answers equal 100,161,505
With that explanation out of the way, let's continue. Next, we take the number 100,161,505 and divide it by 2:
100,161,505 ÷ 2 = 50,080,752.5
If the quotient is a whole number, then 2 and 50,080,752.5 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 | 100,161,505 | |
| -1 | -100,161,505 |
Now, we try dividing 100,161,505 by 3:
100,161,505 ÷ 3 = 33,387,168.3333
If the quotient is a whole number, then 3 and 33,387,168.3333 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 | 100,161,505 | |
| -1 | -100,161,505 |
Let's try dividing by 4:
100,161,505 ÷ 4 = 25,040,376.25
If the quotient is a whole number, then 4 and 25,040,376.25 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 | 100,161,505 | |
| -1 | 100,161,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 113 | 145 | 565 | 3,277 | 6,113 | 16,385 | 30,565 | 177,277 | 690,769 | 886,385 | 3,453,845 | 20,032,301 | 100,161,505 |
| -1 | -5 | -29 | -113 | -145 | -565 | -3,277 | -6,113 | -16,385 | -30,565 | -177,277 | -690,769 | -886,385 | -3,453,845 | -20,032,301 | -100,161,505 |
Here are some more numbers to try:
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