A:
Positive:
1 x 1502577255 x 3005154525 x 601030973 x 2058325281 x 534725293 x 512825365 x 4116651405 x 1069451465 x 1025651825 x 823337025 x 213897325 x 20513
Negative:
-1 x -150257725-5 x -30051545-25 x -6010309-73 x -2058325-281 x -534725-293 x -512825-365 x -411665-1405 x -106945-1465 x -102565-1825 x -82333-7025 x -21389-7325 x -20513
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 150,257,725, 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 | 150,257,725 | |
| -1 | -150,257,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 150,257,725.
Example:
1 x 150,257,725 = 150,257,725
and
-1 x -150,257,725 = 150,257,725
Notice both answers equal 150,257,725
With that explanation out of the way, let's continue. Next, we take the number 150,257,725 and divide it by 2:
150,257,725 ÷ 2 = 75,128,862.5
If the quotient is a whole number, then 2 and 75,128,862.5 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 | 150,257,725 | |
| -1 | -150,257,725 |
Now, we try dividing 150,257,725 by 3:
150,257,725 ÷ 3 = 50,085,908.3333
If the quotient is a whole number, then 3 and 50,085,908.3333 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 | 150,257,725 | |
| -1 | -150,257,725 |
Let's try dividing by 4:
150,257,725 ÷ 4 = 37,564,431.25
If the quotient is a whole number, then 4 and 37,564,431.25 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 | 150,257,725 | |
| -1 | 150,257,725 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 73 | 281 | 293 | 365 | 1,405 | 1,465 | 1,825 | 7,025 | 7,325 | 20,513 | 21,389 | 82,333 | 102,565 | 106,945 | 411,665 | 512,825 | 534,725 | 2,058,325 | 6,010,309 | 30,051,545 | 150,257,725 |
| -1 | -5 | -25 | -73 | -281 | -293 | -365 | -1,405 | -1,465 | -1,825 | -7,025 | -7,325 | -20,513 | -21,389 | -82,333 | -102,565 | -106,945 | -411,665 | -512,825 | -534,725 | -2,058,325 | -6,010,309 | -30,051,545 | -150,257,725 |
Here are some more numbers to try:
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