A:
Positive:
1 x 5005313117 x 7150447353 x 9443987371 x 1349141373 x 13419072611 x 1917013617 x 13838319769 x 25319
Negative:
-1 x -500531311-7 x -71504473-53 x -9443987-371 x -1349141-373 x -1341907-2611 x -191701-3617 x -138383-19769 x -25319
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 500,531,311, 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 | 500,531,311 | |
| -1 | -500,531,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 500,531,311.
Example:
1 x 500,531,311 = 500,531,311
and
-1 x -500,531,311 = 500,531,311
Notice both answers equal 500,531,311
With that explanation out of the way, let's continue. Next, we take the number 500,531,311 and divide it by 2:
500,531,311 ÷ 2 = 250,265,655.5
If the quotient is a whole number, then 2 and 250,265,655.5 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 | 500,531,311 | |
| -1 | -500,531,311 |
Now, we try dividing 500,531,311 by 3:
500,531,311 ÷ 3 = 166,843,770.3333
If the quotient is a whole number, then 3 and 166,843,770.3333 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 | 500,531,311 | |
| -1 | -500,531,311 |
Let's try dividing by 4:
500,531,311 ÷ 4 = 125,132,827.75
If the quotient is a whole number, then 4 and 125,132,827.75 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 | 500,531,311 | |
| -1 | 500,531,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 53 | 371 | 373 | 2,611 | 3,617 | 19,769 | 25,319 | 138,383 | 191,701 | 1,341,907 | 1,349,141 | 9,443,987 | 71,504,473 | 500,531,311 |
| -1 | -7 | -53 | -371 | -373 | -2,611 | -3,617 | -19,769 | -25,319 | -138,383 | -191,701 | -1,341,907 | -1,349,141 | -9,443,987 | -71,504,473 | -500,531,311 |
Here are some more numbers to try:
Try the factor calculator