A:
Positive:
1 x 1009485197 x 1442121741 x 2462159211 x 478429287 x 3517371477 x 683471667 x 605578651 x 11669
Negative:
-1 x -100948519-7 x -14421217-41 x -2462159-211 x -478429-287 x -351737-1477 x -68347-1667 x -60557-8651 x -11669
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 100,948,519, 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 | 100,948,519 | |
| -1 | -100,948,519 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,948,519.
Example:
1 x 100,948,519 = 100,948,519
and
-1 x -100,948,519 = 100,948,519
Notice both answers equal 100,948,519
With that explanation out of the way, let's continue. Next, we take the number 100,948,519 and divide it by 2:
100,948,519 ÷ 2 = 50,474,259.5
If the quotient is a whole number, then 2 and 50,474,259.5 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 | 100,948,519 | |
| -1 | -100,948,519 |
Now, we try dividing 100,948,519 by 3:
100,948,519 ÷ 3 = 33,649,506.3333
If the quotient is a whole number, then 3 and 33,649,506.3333 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 | 100,948,519 | |
| -1 | -100,948,519 |
Let's try dividing by 4:
100,948,519 ÷ 4 = 25,237,129.75
If the quotient is a whole number, then 4 and 25,237,129.75 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 | 100,948,519 | |
| -1 | 100,948,519 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 211 | 287 | 1,477 | 1,667 | 8,651 | 11,669 | 60,557 | 68,347 | 351,737 | 478,429 | 2,462,159 | 14,421,217 | 100,948,519 |
| -1 | -7 | -41 | -211 | -287 | -1,477 | -1,667 | -8,651 | -11,669 | -60,557 | -68,347 | -351,737 | -478,429 | -2,462,159 | -14,421,217 | -100,948,519 |
Here are some more numbers to try:
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