A:
Positive:
1 x 1503132055 x 300626417 x 2147331535 x 429466373 x 2059085365 x 411817511 x 2941552555 x 58831
Negative:
-1 x -150313205-5 x -30062641-7 x -21473315-35 x -4294663-73 x -2059085-365 x -411817-511 x -294155-2555 x -58831
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 150,313,205, 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 | 150,313,205 | |
| -1 | -150,313,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,313,205.
Example:
1 x 150,313,205 = 150,313,205
and
-1 x -150,313,205 = 150,313,205
Notice both answers equal 150,313,205
With that explanation out of the way, let's continue. Next, we take the number 150,313,205 and divide it by 2:
150,313,205 ÷ 2 = 75,156,602.5
If the quotient is a whole number, then 2 and 75,156,602.5 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 | 150,313,205 | |
| -1 | -150,313,205 |
Now, we try dividing 150,313,205 by 3:
150,313,205 ÷ 3 = 50,104,401.6667
If the quotient is a whole number, then 3 and 50,104,401.6667 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 | 150,313,205 | |
| -1 | -150,313,205 |
Let's try dividing by 4:
150,313,205 ÷ 4 = 37,578,301.25
If the quotient is a whole number, then 4 and 37,578,301.25 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 | 150,313,205 | |
| -1 | 150,313,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 73 | 365 | 511 | 2,555 | 58,831 | 294,155 | 411,817 | 2,059,085 | 4,294,663 | 21,473,315 | 30,062,641 | 150,313,205 |
| -1 | -5 | -7 | -35 | -73 | -365 | -511 | -2,555 | -58,831 | -294,155 | -411,817 | -2,059,085 | -4,294,663 | -21,473,315 | -30,062,641 | -150,313,205 |
Here are some more numbers to try:
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