A:
Positive:
1 x 5641050255 x 11282100511 x 5128227525 x 2256420155 x 10256455121 x 4662025275 x 2051291605 x 9324053025 x 186481
Negative:
-1 x -564105025-5 x -112821005-11 x -51282275-25 x -22564201-55 x -10256455-121 x -4662025-275 x -2051291-605 x -932405-3025 x -186481
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 564,105,025, 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 | 564,105,025 | |
| -1 | -564,105,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 564,105,025.
Example:
1 x 564,105,025 = 564,105,025
and
-1 x -564,105,025 = 564,105,025
Notice both answers equal 564,105,025
With that explanation out of the way, let's continue. Next, we take the number 564,105,025 and divide it by 2:
564,105,025 ÷ 2 = 282,052,512.5
If the quotient is a whole number, then 2 and 282,052,512.5 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 | 564,105,025 | |
| -1 | -564,105,025 |
Now, we try dividing 564,105,025 by 3:
564,105,025 ÷ 3 = 188,035,008.3333
If the quotient is a whole number, then 3 and 188,035,008.3333 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 | 564,105,025 | |
| -1 | -564,105,025 |
Let's try dividing by 4:
564,105,025 ÷ 4 = 141,026,256.25
If the quotient is a whole number, then 4 and 141,026,256.25 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 | 564,105,025 | |
| -1 | 564,105,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 121 | 275 | 605 | 3,025 | 186,481 | 932,405 | 2,051,291 | 4,662,025 | 10,256,455 | 22,564,201 | 51,282,275 | 112,821,005 | 564,105,025 |
| -1 | -5 | -11 | -25 | -55 | -121 | -275 | -605 | -3,025 | -186,481 | -932,405 | -2,051,291 | -4,662,025 | -10,256,455 | -22,564,201 | -51,282,275 | -112,821,005 | -564,105,025 |
Here are some more numbers to try:
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