A:
Positive:
1 x 1003010455 x 2006020913 x 771546523 x 436091565 x 1543093115 x 872183299 x 335455529 x 1896051495 x 670912645 x 379212917 x 343856877 x 14585
Negative:
-1 x -100301045-5 x -20060209-13 x -7715465-23 x -4360915-65 x -1543093-115 x -872183-299 x -335455-529 x -189605-1495 x -67091-2645 x -37921-2917 x -34385-6877 x -14585
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 100,301,045, 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 | 100,301,045 | |
| -1 | -100,301,045 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,301,045.
Example:
1 x 100,301,045 = 100,301,045
and
-1 x -100,301,045 = 100,301,045
Notice both answers equal 100,301,045
With that explanation out of the way, let's continue. Next, we take the number 100,301,045 and divide it by 2:
100,301,045 ÷ 2 = 50,150,522.5
If the quotient is a whole number, then 2 and 50,150,522.5 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 | 100,301,045 | |
| -1 | -100,301,045 |
Now, we try dividing 100,301,045 by 3:
100,301,045 ÷ 3 = 33,433,681.6667
If the quotient is a whole number, then 3 and 33,433,681.6667 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 | 100,301,045 | |
| -1 | -100,301,045 |
Let's try dividing by 4:
100,301,045 ÷ 4 = 25,075,261.25
If the quotient is a whole number, then 4 and 25,075,261.25 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 | 100,301,045 | |
| -1 | 100,301,045 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 23 | 65 | 115 | 299 | 529 | 1,495 | 2,645 | 2,917 | 6,877 | 14,585 | 34,385 | 37,921 | 67,091 | 189,605 | 335,455 | 872,183 | 1,543,093 | 4,360,915 | 7,715,465 | 20,060,209 | 100,301,045 |
| -1 | -5 | -13 | -23 | -65 | -115 | -299 | -529 | -1,495 | -2,645 | -2,917 | -6,877 | -14,585 | -34,385 | -37,921 | -67,091 | -189,605 | -335,455 | -872,183 | -1,543,093 | -4,360,915 | -7,715,465 | -20,060,209 | -100,301,045 |
Here are some more numbers to try:
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