A:
Positive:
1 x 57846226113 x 44497097139 x 4161599157 x 36844731807 x 3201232039 x 2836992041 x 28342121823 x 26507
Negative:
-1 x -578462261-13 x -44497097-139 x -4161599-157 x -3684473-1807 x -320123-2039 x -283699-2041 x -283421-21823 x -26507
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 578,462,261, 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 | 578,462,261 | |
| -1 | -578,462,261 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 578,462,261.
Example:
1 x 578,462,261 = 578,462,261
and
-1 x -578,462,261 = 578,462,261
Notice both answers equal 578,462,261
With that explanation out of the way, let's continue. Next, we take the number 578,462,261 and divide it by 2:
578,462,261 ÷ 2 = 289,231,130.5
If the quotient is a whole number, then 2 and 289,231,130.5 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 | 578,462,261 | |
| -1 | -578,462,261 |
Now, we try dividing 578,462,261 by 3:
578,462,261 ÷ 3 = 192,820,753.6667
If the quotient is a whole number, then 3 and 192,820,753.6667 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 | 578,462,261 | |
| -1 | -578,462,261 |
Let's try dividing by 4:
578,462,261 ÷ 4 = 144,615,565.25
If the quotient is a whole number, then 4 and 144,615,565.25 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 | 578,462,261 | |
| -1 | 578,462,261 |
If you did it right, you will end up with this table:
| 1 | 13 | 139 | 157 | 1,807 | 2,039 | 2,041 | 21,823 | 26,507 | 283,421 | 283,699 | 320,123 | 3,684,473 | 4,161,599 | 44,497,097 | 578,462,261 |
| -1 | -13 | -139 | -157 | -1,807 | -2,039 | -2,041 | -21,823 | -26,507 | -283,421 | -283,699 | -320,123 | -3,684,473 | -4,161,599 | -44,497,097 | -578,462,261 |
Here are some more numbers to try:
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