A:
Positive:
1 x 1503406317 x 21477233193 x 778967257 x 584983433 x 3472071351 x 1112811799 x 835693031 x 49601
Negative:
-1 x -150340631-7 x -21477233-193 x -778967-257 x -584983-433 x -347207-1351 x -111281-1799 x -83569-3031 x -49601
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 150,340,631, 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 | 150,340,631 | |
| -1 | -150,340,631 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,340,631.
Example:
1 x 150,340,631 = 150,340,631
and
-1 x -150,340,631 = 150,340,631
Notice both answers equal 150,340,631
With that explanation out of the way, let's continue. Next, we take the number 150,340,631 and divide it by 2:
150,340,631 ÷ 2 = 75,170,315.5
If the quotient is a whole number, then 2 and 75,170,315.5 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 | 150,340,631 | |
| -1 | -150,340,631 |
Now, we try dividing 150,340,631 by 3:
150,340,631 ÷ 3 = 50,113,543.6667
If the quotient is a whole number, then 3 and 50,113,543.6667 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 | 150,340,631 | |
| -1 | -150,340,631 |
Let's try dividing by 4:
150,340,631 ÷ 4 = 37,585,157.75
If the quotient is a whole number, then 4 and 37,585,157.75 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 | 150,340,631 | |
| -1 | 150,340,631 |
If you did it right, you will end up with this table:
| 1 | 7 | 193 | 257 | 433 | 1,351 | 1,799 | 3,031 | 49,601 | 83,569 | 111,281 | 347,207 | 584,983 | 778,967 | 21,477,233 | 150,340,631 |
| -1 | -7 | -193 | -257 | -433 | -1,351 | -1,799 | -3,031 | -49,601 | -83,569 | -111,281 | -347,207 | -584,983 | -778,967 | -21,477,233 | -150,340,631 |
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