A:
Positive:
1 x 57142255 x 114284511 x 51947525 x 22856955 x 103895121 x 47225275 x 20779605 x 94451889 x 3025
Negative:
-1 x -5714225-5 x -1142845-11 x -519475-25 x -228569-55 x -103895-121 x -47225-275 x -20779-605 x -9445-1889 x -3025
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 5,714,225, 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 | 5,714,225 | |
| -1 | -5,714,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,714,225.
Example:
1 x 5,714,225 = 5,714,225
and
-1 x -5,714,225 = 5,714,225
Notice both answers equal 5,714,225
With that explanation out of the way, let's continue. Next, we take the number 5,714,225 and divide it by 2:
5,714,225 ÷ 2 = 2,857,112.5
If the quotient is a whole number, then 2 and 2,857,112.5 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 | 5,714,225 | |
| -1 | -5,714,225 |
Now, we try dividing 5,714,225 by 3:
5,714,225 ÷ 3 = 1,904,741.6667
If the quotient is a whole number, then 3 and 1,904,741.6667 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 | 5,714,225 | |
| -1 | -5,714,225 |
Let's try dividing by 4:
5,714,225 ÷ 4 = 1,428,556.25
If the quotient is a whole number, then 4 and 1,428,556.25 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 | 5,714,225 | |
| -1 | 5,714,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 121 | 275 | 605 | 1,889 | 3,025 | 9,445 | 20,779 | 47,225 | 103,895 | 228,569 | 519,475 | 1,142,845 | 5,714,225 |
| -1 | -5 | -11 | -25 | -55 | -121 | -275 | -605 | -1,889 | -3,025 | -9,445 | -20,779 | -47,225 | -103,895 | -228,569 | -519,475 | -1,142,845 | -5,714,225 |
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