A:
Positive:
1 x 1505320255 x 301064057 x 2150457517 x 885482525 x 602128135 x 430091585 x 1770965119 x 1264975175 x 860183425 x 354193595 x 2529952975 x 50599
Negative:
-1 x -150532025-5 x -30106405-7 x -21504575-17 x -8854825-25 x -6021281-35 x -4300915-85 x -1770965-119 x -1264975-175 x -860183-425 x -354193-595 x -252995-2975 x -50599
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 150,532,025, 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 | 150,532,025 | |
| -1 | -150,532,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,532,025.
Example:
1 x 150,532,025 = 150,532,025
and
-1 x -150,532,025 = 150,532,025
Notice both answers equal 150,532,025
With that explanation out of the way, let's continue. Next, we take the number 150,532,025 and divide it by 2:
150,532,025 ÷ 2 = 75,266,012.5
If the quotient is a whole number, then 2 and 75,266,012.5 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 | 150,532,025 | |
| -1 | -150,532,025 |
Now, we try dividing 150,532,025 by 3:
150,532,025 ÷ 3 = 50,177,341.6667
If the quotient is a whole number, then 3 and 50,177,341.6667 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 | 150,532,025 | |
| -1 | -150,532,025 |
Let's try dividing by 4:
150,532,025 ÷ 4 = 37,633,006.25
If the quotient is a whole number, then 4 and 37,633,006.25 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 | 150,532,025 | |
| -1 | 150,532,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 17 | 25 | 35 | 85 | 119 | 175 | 425 | 595 | 2,975 | 50,599 | 252,995 | 354,193 | 860,183 | 1,264,975 | 1,770,965 | 4,300,915 | 6,021,281 | 8,854,825 | 21,504,575 | 30,106,405 | 150,532,025 |
| -1 | -5 | -7 | -17 | -25 | -35 | -85 | -119 | -175 | -425 | -595 | -2,975 | -50,599 | -252,995 | -354,193 | -860,183 | -1,264,975 | -1,770,965 | -4,300,915 | -6,021,281 | -8,854,825 | -21,504,575 | -30,106,405 | -150,532,025 |
Here are some more numbers to try:
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