A:
Positive:
1 x 2522564177 x 3603663137 x 6817741127 x 1986271259 x 973963889 x 2837534699 x 536837669 x 32893
Negative:
-1 x -252256417-7 x -36036631-37 x -6817741-127 x -1986271-259 x -973963-889 x -283753-4699 x -53683-7669 x -32893
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 252,256,417, 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 | 252,256,417 | |
| -1 | -252,256,417 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 252,256,417.
Example:
1 x 252,256,417 = 252,256,417
and
-1 x -252,256,417 = 252,256,417
Notice both answers equal 252,256,417
With that explanation out of the way, let's continue. Next, we take the number 252,256,417 and divide it by 2:
252,256,417 ÷ 2 = 126,128,208.5
If the quotient is a whole number, then 2 and 126,128,208.5 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 | 252,256,417 | |
| -1 | -252,256,417 |
Now, we try dividing 252,256,417 by 3:
252,256,417 ÷ 3 = 84,085,472.3333
If the quotient is a whole number, then 3 and 84,085,472.3333 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 | 252,256,417 | |
| -1 | -252,256,417 |
Let's try dividing by 4:
252,256,417 ÷ 4 = 63,064,104.25
If the quotient is a whole number, then 4 and 63,064,104.25 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 | 252,256,417 | |
| -1 | 252,256,417 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 127 | 259 | 889 | 4,699 | 7,669 | 32,893 | 53,683 | 283,753 | 973,963 | 1,986,271 | 6,817,741 | 36,036,631 | 252,256,417 |
| -1 | -7 | -37 | -127 | -259 | -889 | -4,699 | -7,669 | -32,893 | -53,683 | -283,753 | -973,963 | -1,986,271 | -6,817,741 | -36,036,631 | -252,256,417 |
Here are some more numbers to try:
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