A:
Positive:
1 x 7260734355 x 14521468729 x 25037015145 x 5007403233 x 31161951165 x 6232396757 x 10745521491 x 33785
Negative:
-1 x -726073435-5 x -145214687-29 x -25037015-145 x -5007403-233 x -3116195-1165 x -623239-6757 x -107455-21491 x -33785
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 726,073,435, 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 | 726,073,435 | |
| -1 | -726,073,435 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 726,073,435.
Example:
1 x 726,073,435 = 726,073,435
and
-1 x -726,073,435 = 726,073,435
Notice both answers equal 726,073,435
With that explanation out of the way, let's continue. Next, we take the number 726,073,435 and divide it by 2:
726,073,435 ÷ 2 = 363,036,717.5
If the quotient is a whole number, then 2 and 363,036,717.5 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 | 726,073,435 | |
| -1 | -726,073,435 |
Now, we try dividing 726,073,435 by 3:
726,073,435 ÷ 3 = 242,024,478.3333
If the quotient is a whole number, then 3 and 242,024,478.3333 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 | 726,073,435 | |
| -1 | -726,073,435 |
Let's try dividing by 4:
726,073,435 ÷ 4 = 181,518,358.75
If the quotient is a whole number, then 4 and 181,518,358.75 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 | 726,073,435 | |
| -1 | 726,073,435 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 233 | 1,165 | 6,757 | 21,491 | 33,785 | 107,455 | 623,239 | 3,116,195 | 5,007,403 | 25,037,015 | 145,214,687 | 726,073,435 |
| -1 | -5 | -29 | -145 | -233 | -1,165 | -6,757 | -21,491 | -33,785 | -107,455 | -623,239 | -3,116,195 | -5,007,403 | -25,037,015 | -145,214,687 | -726,073,435 |
Here are some more numbers to try:
Try the factor calculator