A:
Positive:
1 x 1054021017 x 1505744319 x 5547479133 x 792497277 x 3805131939 x 543592861 x 368415263 x 20027
Negative:
-1 x -105402101-7 x -15057443-19 x -5547479-133 x -792497-277 x -380513-1939 x -54359-2861 x -36841-5263 x -20027
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 105,402,101, 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 | 105,402,101 | |
| -1 | -105,402,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,402,101.
Example:
1 x 105,402,101 = 105,402,101
and
-1 x -105,402,101 = 105,402,101
Notice both answers equal 105,402,101
With that explanation out of the way, let's continue. Next, we take the number 105,402,101 and divide it by 2:
105,402,101 ÷ 2 = 52,701,050.5
If the quotient is a whole number, then 2 and 52,701,050.5 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 | 105,402,101 | |
| -1 | -105,402,101 |
Now, we try dividing 105,402,101 by 3:
105,402,101 ÷ 3 = 35,134,033.6667
If the quotient is a whole number, then 3 and 35,134,033.6667 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 | 105,402,101 | |
| -1 | -105,402,101 |
Let's try dividing by 4:
105,402,101 ÷ 4 = 26,350,525.25
If the quotient is a whole number, then 4 and 26,350,525.25 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 | 105,402,101 | |
| -1 | 105,402,101 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 133 | 277 | 1,939 | 2,861 | 5,263 | 20,027 | 36,841 | 54,359 | 380,513 | 792,497 | 5,547,479 | 15,057,443 | 105,402,101 |
| -1 | -7 | -19 | -133 | -277 | -1,939 | -2,861 | -5,263 | -20,027 | -36,841 | -54,359 | -380,513 | -792,497 | -5,547,479 | -15,057,443 | -105,402,101 |
Here are some more numbers to try:
Try the factor calculator