A:
Positive:
1 x 1022007355 x 204401477 x 1460010513 x 786159535 x 292002165 x 157231991 x 1123085455 x 224617
Negative:
-1 x -102200735-5 x -20440147-7 x -14600105-13 x -7861595-35 x -2920021-65 x -1572319-91 x -1123085-455 x -224617
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 102,200,735, 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 | 102,200,735 | |
| -1 | -102,200,735 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,200,735.
Example:
1 x 102,200,735 = 102,200,735
and
-1 x -102,200,735 = 102,200,735
Notice both answers equal 102,200,735
With that explanation out of the way, let's continue. Next, we take the number 102,200,735 and divide it by 2:
102,200,735 ÷ 2 = 51,100,367.5
If the quotient is a whole number, then 2 and 51,100,367.5 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 | 102,200,735 | |
| -1 | -102,200,735 |
Now, we try dividing 102,200,735 by 3:
102,200,735 ÷ 3 = 34,066,911.6667
If the quotient is a whole number, then 3 and 34,066,911.6667 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 | 102,200,735 | |
| -1 | -102,200,735 |
Let's try dividing by 4:
102,200,735 ÷ 4 = 25,550,183.75
If the quotient is a whole number, then 4 and 25,550,183.75 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 | 102,200,735 | |
| -1 | 102,200,735 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 65 | 91 | 455 | 224,617 | 1,123,085 | 1,572,319 | 2,920,021 | 7,861,595 | 14,600,105 | 20,440,147 | 102,200,735 |
| -1 | -5 | -7 | -13 | -35 | -65 | -91 | -455 | -224,617 | -1,123,085 | -1,572,319 | -2,920,021 | -7,861,595 | -14,600,105 | -20,440,147 | -102,200,735 |
Here are some more numbers to try:
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