A:
Positive:
1 x 4650001255 x 9300002525 x 18600005125 x 3720001269 x 17286251345 x 3457256725 x 6914513829 x 33625
Negative:
-1 x -465000125-5 x -93000025-25 x -18600005-125 x -3720001-269 x -1728625-1345 x -345725-6725 x -69145-13829 x -33625
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 465,000,125, 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 | 465,000,125 | |
| -1 | -465,000,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 465,000,125.
Example:
1 x 465,000,125 = 465,000,125
and
-1 x -465,000,125 = 465,000,125
Notice both answers equal 465,000,125
With that explanation out of the way, let's continue. Next, we take the number 465,000,125 and divide it by 2:
465,000,125 ÷ 2 = 232,500,062.5
If the quotient is a whole number, then 2 and 232,500,062.5 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 | 465,000,125 | |
| -1 | -465,000,125 |
Now, we try dividing 465,000,125 by 3:
465,000,125 ÷ 3 = 155,000,041.6667
If the quotient is a whole number, then 3 and 155,000,041.6667 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 | 465,000,125 | |
| -1 | -465,000,125 |
Let's try dividing by 4:
465,000,125 ÷ 4 = 116,250,031.25
If the quotient is a whole number, then 4 and 116,250,031.25 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 | 465,000,125 | |
| -1 | 465,000,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 269 | 1,345 | 6,725 | 13,829 | 33,625 | 69,145 | 345,725 | 1,728,625 | 3,720,001 | 18,600,005 | 93,000,025 | 465,000,125 |
| -1 | -5 | -25 | -125 | -269 | -1,345 | -6,725 | -13,829 | -33,625 | -69,145 | -345,725 | -1,728,625 | -3,720,001 | -18,600,005 | -93,000,025 | -465,000,125 |
Here are some more numbers to try:
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