A:
Positive:
1 x 2571939237 x 36741989127 x 2025149193 x 1332611889 x 2893071351 x 1903731499 x 17157710493 x 24511
Negative:
-1 x -257193923-7 x -36741989-127 x -2025149-193 x -1332611-889 x -289307-1351 x -190373-1499 x -171577-10493 x -24511
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 257,193,923, 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 | 257,193,923 | |
| -1 | -257,193,923 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,193,923.
Example:
1 x 257,193,923 = 257,193,923
and
-1 x -257,193,923 = 257,193,923
Notice both answers equal 257,193,923
With that explanation out of the way, let's continue. Next, we take the number 257,193,923 and divide it by 2:
257,193,923 ÷ 2 = 128,596,961.5
If the quotient is a whole number, then 2 and 128,596,961.5 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 | 257,193,923 | |
| -1 | -257,193,923 |
Now, we try dividing 257,193,923 by 3:
257,193,923 ÷ 3 = 85,731,307.6667
If the quotient is a whole number, then 3 and 85,731,307.6667 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 | 257,193,923 | |
| -1 | -257,193,923 |
Let's try dividing by 4:
257,193,923 ÷ 4 = 64,298,480.75
If the quotient is a whole number, then 4 and 64,298,480.75 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 | 257,193,923 | |
| -1 | 257,193,923 |
If you did it right, you will end up with this table:
| 1 | 7 | 127 | 193 | 889 | 1,351 | 1,499 | 10,493 | 24,511 | 171,577 | 190,373 | 289,307 | 1,332,611 | 2,025,149 | 36,741,989 | 257,193,923 |
| -1 | -7 | -127 | -193 | -889 | -1,351 | -1,499 | -10,493 | -24,511 | -171,577 | -190,373 | -289,307 | -1,332,611 | -2,025,149 | -36,741,989 | -257,193,923 |
Here are some more numbers to try:
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