A:
Positive:
1 x 721305417 x 1030436317 x 4242973119 x 606139311 x 2319311949 x 370092177 x 331335287 x 13643
Negative:
-1 x -72130541-7 x -10304363-17 x -4242973-119 x -606139-311 x -231931-1949 x -37009-2177 x -33133-5287 x -13643
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 72,130,541, 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 | 72,130,541 | |
| -1 | -72,130,541 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 72,130,541.
Example:
1 x 72,130,541 = 72,130,541
and
-1 x -72,130,541 = 72,130,541
Notice both answers equal 72,130,541
With that explanation out of the way, let's continue. Next, we take the number 72,130,541 and divide it by 2:
72,130,541 ÷ 2 = 36,065,270.5
If the quotient is a whole number, then 2 and 36,065,270.5 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 | 72,130,541 | |
| -1 | -72,130,541 |
Now, we try dividing 72,130,541 by 3:
72,130,541 ÷ 3 = 24,043,513.6667
If the quotient is a whole number, then 3 and 24,043,513.6667 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 | 72,130,541 | |
| -1 | -72,130,541 |
Let's try dividing by 4:
72,130,541 ÷ 4 = 18,032,635.25
If the quotient is a whole number, then 4 and 18,032,635.25 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 | 72,130,541 | |
| -1 | 72,130,541 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 311 | 1,949 | 2,177 | 5,287 | 13,643 | 33,133 | 37,009 | 231,931 | 606,139 | 4,242,973 | 10,304,363 | 72,130,541 |
| -1 | -7 | -17 | -119 | -311 | -1,949 | -2,177 | -5,287 | -13,643 | -33,133 | -37,009 | -231,931 | -606,139 | -4,242,973 | -10,304,363 | -72,130,541 |
Here are some more numbers to try:
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