A:
Positive:
1 x 5003056255 x 10006112519 x 2633187525 x 2001222595 x 5266375125 x 4002445475 x 1053275625 x 8004892375 x 21065511875 x 42131
Negative:
-1 x -500305625-5 x -100061125-19 x -26331875-25 x -20012225-95 x -5266375-125 x -4002445-475 x -1053275-625 x -800489-2375 x -210655-11875 x -42131
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 500,305,625, 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 | 500,305,625 | |
| -1 | -500,305,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 500,305,625.
Example:
1 x 500,305,625 = 500,305,625
and
-1 x -500,305,625 = 500,305,625
Notice both answers equal 500,305,625
With that explanation out of the way, let's continue. Next, we take the number 500,305,625 and divide it by 2:
500,305,625 ÷ 2 = 250,152,812.5
If the quotient is a whole number, then 2 and 250,152,812.5 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 | 500,305,625 | |
| -1 | -500,305,625 |
Now, we try dividing 500,305,625 by 3:
500,305,625 ÷ 3 = 166,768,541.6667
If the quotient is a whole number, then 3 and 166,768,541.6667 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 | 500,305,625 | |
| -1 | -500,305,625 |
Let's try dividing by 4:
500,305,625 ÷ 4 = 125,076,406.25
If the quotient is a whole number, then 4 and 125,076,406.25 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 | 500,305,625 | |
| -1 | 500,305,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 125 | 475 | 625 | 2,375 | 11,875 | 42,131 | 210,655 | 800,489 | 1,053,275 | 4,002,445 | 5,266,375 | 20,012,225 | 26,331,875 | 100,061,125 | 500,305,625 |
| -1 | -5 | -19 | -25 | -95 | -125 | -475 | -625 | -2,375 | -11,875 | -42,131 | -210,655 | -800,489 | -1,053,275 | -4,002,445 | -5,266,375 | -20,012,225 | -26,331,875 | -100,061,125 | -500,305,625 |
Here are some more numbers to try:
Try the factor calculator