A:
Positive:
1 x 1002055255 x 200411057 x 1431507519 x 527397525 x 400822135 x 286301595 x 1054795133 x 753425175 x 572603475 x 210959665 x 1506853325 x 30137
Negative:
-1 x -100205525-5 x -20041105-7 x -14315075-19 x -5273975-25 x -4008221-35 x -2863015-95 x -1054795-133 x -753425-175 x -572603-475 x -210959-665 x -150685-3325 x -30137
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 100,205,525, 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 | 100,205,525 | |
| -1 | -100,205,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,205,525.
Example:
1 x 100,205,525 = 100,205,525
and
-1 x -100,205,525 = 100,205,525
Notice both answers equal 100,205,525
With that explanation out of the way, let's continue. Next, we take the number 100,205,525 and divide it by 2:
100,205,525 ÷ 2 = 50,102,762.5
If the quotient is a whole number, then 2 and 50,102,762.5 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 | 100,205,525 | |
| -1 | -100,205,525 |
Now, we try dividing 100,205,525 by 3:
100,205,525 ÷ 3 = 33,401,841.6667
If the quotient is a whole number, then 3 and 33,401,841.6667 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 | 100,205,525 | |
| -1 | -100,205,525 |
Let's try dividing by 4:
100,205,525 ÷ 4 = 25,051,381.25
If the quotient is a whole number, then 4 and 25,051,381.25 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 | 100,205,525 | |
| -1 | 100,205,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 19 | 25 | 35 | 95 | 133 | 175 | 475 | 665 | 3,325 | 30,137 | 150,685 | 210,959 | 572,603 | 753,425 | 1,054,795 | 2,863,015 | 4,008,221 | 5,273,975 | 14,315,075 | 20,041,105 | 100,205,525 |
| -1 | -5 | -7 | -19 | -25 | -35 | -95 | -133 | -175 | -475 | -665 | -3,325 | -30,137 | -150,685 | -210,959 | -572,603 | -753,425 | -1,054,795 | -2,863,015 | -4,008,221 | -5,273,975 | -14,315,075 | -20,041,105 | -100,205,525 |
Here are some more numbers to try:
Try the factor calculator