A:
Positive:
1 x 25785103311 x 2344100319 x 13571107209 x 1233737311 x 8291033421 x 753733967 x 649995909 x 43637
Negative:
-1 x -257851033-11 x -23441003-19 x -13571107-209 x -1233737-311 x -829103-3421 x -75373-3967 x -64999-5909 x -43637
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 257,851,033, 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 | 257,851,033 | |
| -1 | -257,851,033 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,851,033.
Example:
1 x 257,851,033 = 257,851,033
and
-1 x -257,851,033 = 257,851,033
Notice both answers equal 257,851,033
With that explanation out of the way, let's continue. Next, we take the number 257,851,033 and divide it by 2:
257,851,033 ÷ 2 = 128,925,516.5
If the quotient is a whole number, then 2 and 128,925,516.5 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 | 257,851,033 | |
| -1 | -257,851,033 |
Now, we try dividing 257,851,033 by 3:
257,851,033 ÷ 3 = 85,950,344.3333
If the quotient is a whole number, then 3 and 85,950,344.3333 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 | 257,851,033 | |
| -1 | -257,851,033 |
Let's try dividing by 4:
257,851,033 ÷ 4 = 64,462,758.25
If the quotient is a whole number, then 4 and 64,462,758.25 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 | 257,851,033 | |
| -1 | 257,851,033 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 209 | 311 | 3,421 | 3,967 | 5,909 | 43,637 | 64,999 | 75,373 | 829,103 | 1,233,737 | 13,571,107 | 23,441,003 | 257,851,033 |
| -1 | -11 | -19 | -209 | -311 | -3,421 | -3,967 | -5,909 | -43,637 | -64,999 | -75,373 | -829,103 | -1,233,737 | -13,571,107 | -23,441,003 | -257,851,033 |
Here are some more numbers to try:
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