A:
Positive:
1 x 5106671997 x 7295245717 x 3003924719 x 26877221119 x 4291321133 x 3839603323 x 15810132261 x 225859
Negative:
-1 x -510667199-7 x -72952457-17 x -30039247-19 x -26877221-119 x -4291321-133 x -3839603-323 x -1581013-2261 x -225859
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 510,667,199, 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 | 510,667,199 | |
| -1 | -510,667,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 510,667,199.
Example:
1 x 510,667,199 = 510,667,199
and
-1 x -510,667,199 = 510,667,199
Notice both answers equal 510,667,199
With that explanation out of the way, let's continue. Next, we take the number 510,667,199 and divide it by 2:
510,667,199 ÷ 2 = 255,333,599.5
If the quotient is a whole number, then 2 and 255,333,599.5 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 | 510,667,199 | |
| -1 | -510,667,199 |
Now, we try dividing 510,667,199 by 3:
510,667,199 ÷ 3 = 170,222,399.6667
If the quotient is a whole number, then 3 and 170,222,399.6667 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 | 510,667,199 | |
| -1 | -510,667,199 |
Let's try dividing by 4:
510,667,199 ÷ 4 = 127,666,799.75
If the quotient is a whole number, then 4 and 127,666,799.75 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 | 510,667,199 | |
| -1 | 510,667,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 19 | 119 | 133 | 323 | 2,261 | 225,859 | 1,581,013 | 3,839,603 | 4,291,321 | 26,877,221 | 30,039,247 | 72,952,457 | 510,667,199 |
| -1 | -7 | -17 | -19 | -119 | -133 | -323 | -2,261 | -225,859 | -1,581,013 | -3,839,603 | -4,291,321 | -26,877,221 | -30,039,247 | -72,952,457 | -510,667,199 |
Here are some more numbers to try:
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