A:
Positive:
1 x 25100210311 x 2281837319 x 13210637209 x 1200967347 x 7233493461 x 725233817 x 657596593 x 38071
Negative:
-1 x -251002103-11 x -22818373-19 x -13210637-209 x -1200967-347 x -723349-3461 x -72523-3817 x -65759-6593 x -38071
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 251,002,103, 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 | 251,002,103 | |
| -1 | -251,002,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 251,002,103.
Example:
1 x 251,002,103 = 251,002,103
and
-1 x -251,002,103 = 251,002,103
Notice both answers equal 251,002,103
With that explanation out of the way, let's continue. Next, we take the number 251,002,103 and divide it by 2:
251,002,103 ÷ 2 = 125,501,051.5
If the quotient is a whole number, then 2 and 125,501,051.5 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 | 251,002,103 | |
| -1 | -251,002,103 |
Now, we try dividing 251,002,103 by 3:
251,002,103 ÷ 3 = 83,667,367.6667
If the quotient is a whole number, then 3 and 83,667,367.6667 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 | 251,002,103 | |
| -1 | -251,002,103 |
Let's try dividing by 4:
251,002,103 ÷ 4 = 62,750,525.75
If the quotient is a whole number, then 4 and 62,750,525.75 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 | 251,002,103 | |
| -1 | 251,002,103 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 209 | 347 | 3,461 | 3,817 | 6,593 | 38,071 | 65,759 | 72,523 | 723,349 | 1,200,967 | 13,210,637 | 22,818,373 | 251,002,103 |
| -1 | -11 | -19 | -209 | -347 | -3,461 | -3,817 | -6,593 | -38,071 | -65,759 | -72,523 | -723,349 | -1,200,967 | -13,210,637 | -22,818,373 | -251,002,103 |
Here are some more numbers to try:
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