A:
Positive:
1 x 6142530255 x 12285060525 x 2457012173 x 8414425365 x 16828851825 x 336577
Negative:
-1 x -614253025-5 x -122850605-25 x -24570121-73 x -8414425-365 x -1682885-1825 x -336577
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 614,253,025, 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 | 614,253,025 | |
| -1 | -614,253,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 614,253,025.
Example:
1 x 614,253,025 = 614,253,025
and
-1 x -614,253,025 = 614,253,025
Notice both answers equal 614,253,025
With that explanation out of the way, let's continue. Next, we take the number 614,253,025 and divide it by 2:
614,253,025 ÷ 2 = 307,126,512.5
If the quotient is a whole number, then 2 and 307,126,512.5 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 | 614,253,025 | |
| -1 | -614,253,025 |
Now, we try dividing 614,253,025 by 3:
614,253,025 ÷ 3 = 204,751,008.3333
If the quotient is a whole number, then 3 and 204,751,008.3333 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 | 614,253,025 | |
| -1 | -614,253,025 |
Let's try dividing by 4:
614,253,025 ÷ 4 = 153,563,256.25
If the quotient is a whole number, then 4 and 153,563,256.25 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 | 614,253,025 | |
| -1 | 614,253,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 73 | 365 | 1,825 | 336,577 | 1,682,885 | 8,414,425 | 24,570,121 | 122,850,605 | 614,253,025 |
| -1 | -5 | -25 | -73 | -365 | -1,825 | -336,577 | -1,682,885 | -8,414,425 | -24,570,121 | -122,850,605 | -614,253,025 |
Here are some more numbers to try:
Try the factor calculator