A:
Positive:
1 x 1625000097 x 2321428747 x 3457447151 x 1076159329 x 4939211057 x 1537373271 x 496797097 x 22897
Negative:
-1 x -162500009-7 x -23214287-47 x -3457447-151 x -1076159-329 x -493921-1057 x -153737-3271 x -49679-7097 x -22897
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 162,500,009, 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 | 162,500,009 | |
| -1 | -162,500,009 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 162,500,009.
Example:
1 x 162,500,009 = 162,500,009
and
-1 x -162,500,009 = 162,500,009
Notice both answers equal 162,500,009
With that explanation out of the way, let's continue. Next, we take the number 162,500,009 and divide it by 2:
162,500,009 ÷ 2 = 81,250,004.5
If the quotient is a whole number, then 2 and 81,250,004.5 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 | 162,500,009 | |
| -1 | -162,500,009 |
Now, we try dividing 162,500,009 by 3:
162,500,009 ÷ 3 = 54,166,669.6667
If the quotient is a whole number, then 3 and 54,166,669.6667 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 | 162,500,009 | |
| -1 | -162,500,009 |
Let's try dividing by 4:
162,500,009 ÷ 4 = 40,625,002.25
If the quotient is a whole number, then 4 and 40,625,002.25 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 | 162,500,009 | |
| -1 | 162,500,009 |
If you did it right, you will end up with this table:
| 1 | 7 | 47 | 151 | 329 | 1,057 | 3,271 | 7,097 | 22,897 | 49,679 | 153,737 | 493,921 | 1,076,159 | 3,457,447 | 23,214,287 | 162,500,009 |
| -1 | -7 | -47 | -151 | -329 | -1,057 | -3,271 | -7,097 | -22,897 | -49,679 | -153,737 | -493,921 | -1,076,159 | -3,457,447 | -23,214,287 | -162,500,009 |
Here are some more numbers to try:
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