A:
Positive:
1 x 10519180111 x 956289113 x 809167717 x 6187753143 x 735607187 x 562523221 x 4759812431 x 43271
Negative:
-1 x -105191801-11 x -9562891-13 x -8091677-17 x -6187753-143 x -735607-187 x -562523-221 x -475981-2431 x -43271
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 105,191,801, 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 | 105,191,801 | |
| -1 | -105,191,801 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,191,801.
Example:
1 x 105,191,801 = 105,191,801
and
-1 x -105,191,801 = 105,191,801
Notice both answers equal 105,191,801
With that explanation out of the way, let's continue. Next, we take the number 105,191,801 and divide it by 2:
105,191,801 ÷ 2 = 52,595,900.5
If the quotient is a whole number, then 2 and 52,595,900.5 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 | 105,191,801 | |
| -1 | -105,191,801 |
Now, we try dividing 105,191,801 by 3:
105,191,801 ÷ 3 = 35,063,933.6667
If the quotient is a whole number, then 3 and 35,063,933.6667 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 | 105,191,801 | |
| -1 | -105,191,801 |
Let's try dividing by 4:
105,191,801 ÷ 4 = 26,297,950.25
If the quotient is a whole number, then 4 and 26,297,950.25 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 | 105,191,801 | |
| -1 | 105,191,801 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 17 | 143 | 187 | 221 | 2,431 | 43,271 | 475,981 | 562,523 | 735,607 | 6,187,753 | 8,091,677 | 9,562,891 | 105,191,801 |
| -1 | -11 | -13 | -17 | -143 | -187 | -221 | -2,431 | -43,271 | -475,981 | -562,523 | -735,607 | -6,187,753 | -8,091,677 | -9,562,891 | -105,191,801 |
Here are some more numbers to try:
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