A:
Positive:
1 x 389002255 x 77800457 x 555717513 x 299232525 x 155600935 x 111143565 x 59846591 x 427475175 x 222287325 x 119693455 x 854952275 x 17099
Negative:
-1 x -38900225-5 x -7780045-7 x -5557175-13 x -2992325-25 x -1556009-35 x -1111435-65 x -598465-91 x -427475-175 x -222287-325 x -119693-455 x -85495-2275 x -17099
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 38,900,225, 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 | 38,900,225 | |
| -1 | -38,900,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 38,900,225.
Example:
1 x 38,900,225 = 38,900,225
and
-1 x -38,900,225 = 38,900,225
Notice both answers equal 38,900,225
With that explanation out of the way, let's continue. Next, we take the number 38,900,225 and divide it by 2:
38,900,225 ÷ 2 = 19,450,112.5
If the quotient is a whole number, then 2 and 19,450,112.5 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 | 38,900,225 | |
| -1 | -38,900,225 |
Now, we try dividing 38,900,225 by 3:
38,900,225 ÷ 3 = 12,966,741.6667
If the quotient is a whole number, then 3 and 12,966,741.6667 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 | 38,900,225 | |
| -1 | -38,900,225 |
Let's try dividing by 4:
38,900,225 ÷ 4 = 9,725,056.25
If the quotient is a whole number, then 4 and 9,725,056.25 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 | 38,900,225 | |
| -1 | 38,900,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 25 | 35 | 65 | 91 | 175 | 325 | 455 | 2,275 | 17,099 | 85,495 | 119,693 | 222,287 | 427,475 | 598,465 | 1,111,435 | 1,556,009 | 2,992,325 | 5,557,175 | 7,780,045 | 38,900,225 |
| -1 | -5 | -7 | -13 | -25 | -35 | -65 | -91 | -175 | -325 | -455 | -2,275 | -17,099 | -85,495 | -119,693 | -222,287 | -427,475 | -598,465 | -1,111,435 | -1,556,009 | -2,992,325 | -5,557,175 | -7,780,045 | -38,900,225 |
Here are some more numbers to try:
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