A:
Positive:
1 x 5828346255 x 11656692525 x 23313385125 x 46626771453 x 4011253209 x 1816257265 x 8022516045 x 36325
Negative:
-1 x -582834625-5 x -116566925-25 x -23313385-125 x -4662677-1453 x -401125-3209 x -181625-7265 x -80225-16045 x -36325
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 582,834,625, 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 | 582,834,625 | |
| -1 | -582,834,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 582,834,625.
Example:
1 x 582,834,625 = 582,834,625
and
-1 x -582,834,625 = 582,834,625
Notice both answers equal 582,834,625
With that explanation out of the way, let's continue. Next, we take the number 582,834,625 and divide it by 2:
582,834,625 ÷ 2 = 291,417,312.5
If the quotient is a whole number, then 2 and 291,417,312.5 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 | 582,834,625 | |
| -1 | -582,834,625 |
Now, we try dividing 582,834,625 by 3:
582,834,625 ÷ 3 = 194,278,208.3333
If the quotient is a whole number, then 3 and 194,278,208.3333 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 | 582,834,625 | |
| -1 | -582,834,625 |
Let's try dividing by 4:
582,834,625 ÷ 4 = 145,708,656.25
If the quotient is a whole number, then 4 and 145,708,656.25 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 | 582,834,625 | |
| -1 | 582,834,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 1,453 | 3,209 | 7,265 | 16,045 | 36,325 | 80,225 | 181,625 | 401,125 | 4,662,677 | 23,313,385 | 116,566,925 | 582,834,625 |
| -1 | -5 | -25 | -125 | -1,453 | -3,209 | -7,265 | -16,045 | -36,325 | -80,225 | -181,625 | -401,125 | -4,662,677 | -23,313,385 | -116,566,925 | -582,834,625 |
Here are some more numbers to try:
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