A:
Positive:
1 x 4213210313 x 324093117 x 2478359221 x 190643311 x 135473613 x 687314043 x 104215287 x 7969
Negative:
-1 x -42132103-13 x -3240931-17 x -2478359-221 x -190643-311 x -135473-613 x -68731-4043 x -10421-5287 x -7969
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 42,132,103, 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 | 42,132,103 | |
| -1 | -42,132,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,132,103.
Example:
1 x 42,132,103 = 42,132,103
and
-1 x -42,132,103 = 42,132,103
Notice both answers equal 42,132,103
With that explanation out of the way, let's continue. Next, we take the number 42,132,103 and divide it by 2:
42,132,103 ÷ 2 = 21,066,051.5
If the quotient is a whole number, then 2 and 21,066,051.5 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 | 42,132,103 | |
| -1 | -42,132,103 |
Now, we try dividing 42,132,103 by 3:
42,132,103 ÷ 3 = 14,044,034.3333
If the quotient is a whole number, then 3 and 14,044,034.3333 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 | 42,132,103 | |
| -1 | -42,132,103 |
Let's try dividing by 4:
42,132,103 ÷ 4 = 10,533,025.75
If the quotient is a whole number, then 4 and 10,533,025.75 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 | 42,132,103 | |
| -1 | 42,132,103 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 221 | 311 | 613 | 4,043 | 5,287 | 7,969 | 10,421 | 68,731 | 135,473 | 190,643 | 2,478,359 | 3,240,931 | 42,132,103 |
| -1 | -13 | -17 | -221 | -311 | -613 | -4,043 | -5,287 | -7,969 | -10,421 | -68,731 | -135,473 | -190,643 | -2,478,359 | -3,240,931 | -42,132,103 |
Here are some more numbers to try:
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