A:
Positive:
1 x 381060355 x 762120711 x 346418555 x 69283759 x 645865295 x 129173649 x 587153245 x 11743
Negative:
-1 x -38106035-5 x -7621207-11 x -3464185-55 x -692837-59 x -645865-295 x -129173-649 x -58715-3245 x -11743
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 38,106,035, 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 | 38,106,035 | |
| -1 | -38,106,035 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 38,106,035.
Example:
1 x 38,106,035 = 38,106,035
and
-1 x -38,106,035 = 38,106,035
Notice both answers equal 38,106,035
With that explanation out of the way, let's continue. Next, we take the number 38,106,035 and divide it by 2:
38,106,035 ÷ 2 = 19,053,017.5
If the quotient is a whole number, then 2 and 19,053,017.5 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 | 38,106,035 | |
| -1 | -38,106,035 |
Now, we try dividing 38,106,035 by 3:
38,106,035 ÷ 3 = 12,702,011.6667
If the quotient is a whole number, then 3 and 12,702,011.6667 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 | 38,106,035 | |
| -1 | -38,106,035 |
Let's try dividing by 4:
38,106,035 ÷ 4 = 9,526,508.75
If the quotient is a whole number, then 4 and 9,526,508.75 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 | 38,106,035 | |
| -1 | 38,106,035 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 59 | 295 | 649 | 3,245 | 11,743 | 58,715 | 129,173 | 645,865 | 692,837 | 3,464,185 | 7,621,207 | 38,106,035 |
| -1 | -5 | -11 | -55 | -59 | -295 | -649 | -3,245 | -11,743 | -58,715 | -129,173 | -645,865 | -692,837 | -3,464,185 | -7,621,207 | -38,106,035 |
Here are some more numbers to try:
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