A:
Positive:
1 x 5020753577 x 71725051181 x 2773897223 x 22514591267 x 3962711561 x 3216371777 x 28254112439 x 40363
Negative:
-1 x -502075357-7 x -71725051-181 x -2773897-223 x -2251459-1267 x -396271-1561 x -321637-1777 x -282541-12439 x -40363
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 502,075,357, 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 | 502,075,357 | |
| -1 | -502,075,357 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 502,075,357.
Example:
1 x 502,075,357 = 502,075,357
and
-1 x -502,075,357 = 502,075,357
Notice both answers equal 502,075,357
With that explanation out of the way, let's continue. Next, we take the number 502,075,357 and divide it by 2:
502,075,357 ÷ 2 = 251,037,678.5
If the quotient is a whole number, then 2 and 251,037,678.5 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 | 502,075,357 | |
| -1 | -502,075,357 |
Now, we try dividing 502,075,357 by 3:
502,075,357 ÷ 3 = 167,358,452.3333
If the quotient is a whole number, then 3 and 167,358,452.3333 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 | 502,075,357 | |
| -1 | -502,075,357 |
Let's try dividing by 4:
502,075,357 ÷ 4 = 125,518,839.25
If the quotient is a whole number, then 4 and 125,518,839.25 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 | 502,075,357 | |
| -1 | 502,075,357 |
If you did it right, you will end up with this table:
| 1 | 7 | 181 | 223 | 1,267 | 1,561 | 1,777 | 12,439 | 40,363 | 282,541 | 321,637 | 396,271 | 2,251,459 | 2,773,897 | 71,725,051 | 502,075,357 |
| -1 | -7 | -181 | -223 | -1,267 | -1,561 | -1,777 | -12,439 | -40,363 | -282,541 | -321,637 | -396,271 | -2,251,459 | -2,773,897 | -71,725,051 | -502,075,357 |
Here are some more numbers to try:
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