A:
Positive:
1 x 1513351255 x 3026702525 x 6053405125 x 1210681349 x 4336251745 x 867253469 x 436258725 x 17345
Negative:
-1 x -151335125-5 x -30267025-25 x -6053405-125 x -1210681-349 x -433625-1745 x -86725-3469 x -43625-8725 x -17345
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 151,335,125, 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 | 151,335,125 | |
| -1 | -151,335,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 151,335,125.
Example:
1 x 151,335,125 = 151,335,125
and
-1 x -151,335,125 = 151,335,125
Notice both answers equal 151,335,125
With that explanation out of the way, let's continue. Next, we take the number 151,335,125 and divide it by 2:
151,335,125 ÷ 2 = 75,667,562.5
If the quotient is a whole number, then 2 and 75,667,562.5 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 | 151,335,125 | |
| -1 | -151,335,125 |
Now, we try dividing 151,335,125 by 3:
151,335,125 ÷ 3 = 50,445,041.6667
If the quotient is a whole number, then 3 and 50,445,041.6667 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 | 151,335,125 | |
| -1 | -151,335,125 |
Let's try dividing by 4:
151,335,125 ÷ 4 = 37,833,781.25
If the quotient is a whole number, then 4 and 37,833,781.25 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 | 151,335,125 | |
| -1 | 151,335,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 349 | 1,745 | 3,469 | 8,725 | 17,345 | 43,625 | 86,725 | 433,625 | 1,210,681 | 6,053,405 | 30,267,025 | 151,335,125 |
| -1 | -5 | -25 | -125 | -349 | -1,745 | -3,469 | -8,725 | -17,345 | -43,625 | -86,725 | -433,625 | -1,210,681 | -6,053,405 | -30,267,025 | -151,335,125 |
Here are some more numbers to try:
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