A:
Positive:
1 x 25100505111 x 2281864117 x 1476500347 x 5340533187 x 1342273517 x 485503799 x 3141498789 x 28559
Negative:
-1 x -251005051-11 x -22818641-17 x -14765003-47 x -5340533-187 x -1342273-517 x -485503-799 x -314149-8789 x -28559
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 251,005,051, 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 | 251,005,051 | |
| -1 | -251,005,051 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 251,005,051.
Example:
1 x 251,005,051 = 251,005,051
and
-1 x -251,005,051 = 251,005,051
Notice both answers equal 251,005,051
With that explanation out of the way, let's continue. Next, we take the number 251,005,051 and divide it by 2:
251,005,051 ÷ 2 = 125,502,525.5
If the quotient is a whole number, then 2 and 125,502,525.5 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 | 251,005,051 | |
| -1 | -251,005,051 |
Now, we try dividing 251,005,051 by 3:
251,005,051 ÷ 3 = 83,668,350.3333
If the quotient is a whole number, then 3 and 83,668,350.3333 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 | 251,005,051 | |
| -1 | -251,005,051 |
Let's try dividing by 4:
251,005,051 ÷ 4 = 62,751,262.75
If the quotient is a whole number, then 4 and 62,751,262.75 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 | 251,005,051 | |
| -1 | 251,005,051 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 47 | 187 | 517 | 799 | 8,789 | 28,559 | 314,149 | 485,503 | 1,342,273 | 5,340,533 | 14,765,003 | 22,818,641 | 251,005,051 |
| -1 | -11 | -17 | -47 | -187 | -517 | -799 | -8,789 | -28,559 | -314,149 | -485,503 | -1,342,273 | -5,340,533 | -14,765,003 | -22,818,641 | -251,005,051 |
Here are some more numbers to try:
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