A:
Positive:
1 x 25301610113 x 1946277737 x 6838273103 x 2456467481 x 5260211339 x 1889593811 x 663915107 x 49543
Negative:
-1 x -253016101-13 x -19462777-37 x -6838273-103 x -2456467-481 x -526021-1339 x -188959-3811 x -66391-5107 x -49543
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 253,016,101, 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 | 253,016,101 | |
| -1 | -253,016,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 253,016,101.
Example:
1 x 253,016,101 = 253,016,101
and
-1 x -253,016,101 = 253,016,101
Notice both answers equal 253,016,101
With that explanation out of the way, let's continue. Next, we take the number 253,016,101 and divide it by 2:
253,016,101 ÷ 2 = 126,508,050.5
If the quotient is a whole number, then 2 and 126,508,050.5 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 | 253,016,101 | |
| -1 | -253,016,101 |
Now, we try dividing 253,016,101 by 3:
253,016,101 ÷ 3 = 84,338,700.3333
If the quotient is a whole number, then 3 and 84,338,700.3333 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 | 253,016,101 | |
| -1 | -253,016,101 |
Let's try dividing by 4:
253,016,101 ÷ 4 = 63,254,025.25
If the quotient is a whole number, then 4 and 63,254,025.25 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 | 253,016,101 | |
| -1 | 253,016,101 |
If you did it right, you will end up with this table:
| 1 | 13 | 37 | 103 | 481 | 1,339 | 3,811 | 5,107 | 49,543 | 66,391 | 188,959 | 526,021 | 2,456,467 | 6,838,273 | 19,462,777 | 253,016,101 |
| -1 | -13 | -37 | -103 | -481 | -1,339 | -3,811 | -5,107 | -49,543 | -66,391 | -188,959 | -526,021 | -2,456,467 | -6,838,273 | -19,462,777 | -253,016,101 |
Here are some more numbers to try:
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