A:
Positive:
1 x 1508221617 x 2154602331 x 486523173 x 2066057217 x 695033511 x 2951512263 x 666479521 x 15841
Negative:
-1 x -150822161-7 x -21546023-31 x -4865231-73 x -2066057-217 x -695033-511 x -295151-2263 x -66647-9521 x -15841
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 150,822,161, 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 | 150,822,161 | |
| -1 | -150,822,161 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,822,161.
Example:
1 x 150,822,161 = 150,822,161
and
-1 x -150,822,161 = 150,822,161
Notice both answers equal 150,822,161
With that explanation out of the way, let's continue. Next, we take the number 150,822,161 and divide it by 2:
150,822,161 ÷ 2 = 75,411,080.5
If the quotient is a whole number, then 2 and 75,411,080.5 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 | 150,822,161 | |
| -1 | -150,822,161 |
Now, we try dividing 150,822,161 by 3:
150,822,161 ÷ 3 = 50,274,053.6667
If the quotient is a whole number, then 3 and 50,274,053.6667 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 | 150,822,161 | |
| -1 | -150,822,161 |
Let's try dividing by 4:
150,822,161 ÷ 4 = 37,705,540.25
If the quotient is a whole number, then 4 and 37,705,540.25 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 | 150,822,161 | |
| -1 | 150,822,161 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 73 | 217 | 511 | 2,263 | 9,521 | 15,841 | 66,647 | 295,151 | 695,033 | 2,066,057 | 4,865,231 | 21,546,023 | 150,822,161 |
| -1 | -7 | -31 | -73 | -217 | -511 | -2,263 | -9,521 | -15,841 | -66,647 | -295,151 | -695,033 | -2,066,057 | -4,865,231 | -21,546,023 | -150,822,161 |
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