A:
Positive:
1 x 1531251255 x 3062502525 x 6125005125 x 1225001619 x 2473751979 x 773753095 x 494759895 x 15475
Negative:
-1 x -153125125-5 x -30625025-25 x -6125005-125 x -1225001-619 x -247375-1979 x -77375-3095 x -49475-9895 x -15475
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 153,125,125, 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 | 153,125,125 | |
| -1 | -153,125,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 153,125,125.
Example:
1 x 153,125,125 = 153,125,125
and
-1 x -153,125,125 = 153,125,125
Notice both answers equal 153,125,125
With that explanation out of the way, let's continue. Next, we take the number 153,125,125 and divide it by 2:
153,125,125 ÷ 2 = 76,562,562.5
If the quotient is a whole number, then 2 and 76,562,562.5 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 | 153,125,125 | |
| -1 | -153,125,125 |
Now, we try dividing 153,125,125 by 3:
153,125,125 ÷ 3 = 51,041,708.3333
If the quotient is a whole number, then 3 and 51,041,708.3333 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 | 153,125,125 | |
| -1 | -153,125,125 |
Let's try dividing by 4:
153,125,125 ÷ 4 = 38,281,281.25
If the quotient is a whole number, then 4 and 38,281,281.25 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 | 153,125,125 | |
| -1 | 153,125,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 619 | 1,979 | 3,095 | 9,895 | 15,475 | 49,475 | 77,375 | 247,375 | 1,225,001 | 6,125,005 | 30,625,025 | 153,125,125 |
| -1 | -5 | -25 | -125 | -619 | -1,979 | -3,095 | -9,895 | -15,475 | -49,475 | -77,375 | -247,375 | -1,225,001 | -6,125,005 | -30,625,025 | -153,125,125 |
Here are some more numbers to try:
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