A:
Positive:
1 x 421042097 x 601488719 x 221601189 x 473081133 x 316573623 x 675831691 x 248993557 x 11837
Negative:
-1 x -42104209-7 x -6014887-19 x -2216011-89 x -473081-133 x -316573-623 x -67583-1691 x -24899-3557 x -11837
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 42,104,209, 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 | 42,104,209 | |
| -1 | -42,104,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,104,209.
Example:
1 x 42,104,209 = 42,104,209
and
-1 x -42,104,209 = 42,104,209
Notice both answers equal 42,104,209
With that explanation out of the way, let's continue. Next, we take the number 42,104,209 and divide it by 2:
42,104,209 ÷ 2 = 21,052,104.5
If the quotient is a whole number, then 2 and 21,052,104.5 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 | 42,104,209 | |
| -1 | -42,104,209 |
Now, we try dividing 42,104,209 by 3:
42,104,209 ÷ 3 = 14,034,736.3333
If the quotient is a whole number, then 3 and 14,034,736.3333 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 | 42,104,209 | |
| -1 | -42,104,209 |
Let's try dividing by 4:
42,104,209 ÷ 4 = 10,526,052.25
If the quotient is a whole number, then 4 and 10,526,052.25 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 | 42,104,209 | |
| -1 | 42,104,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 89 | 133 | 623 | 1,691 | 3,557 | 11,837 | 24,899 | 67,583 | 316,573 | 473,081 | 2,216,011 | 6,014,887 | 42,104,209 |
| -1 | -7 | -19 | -89 | -133 | -623 | -1,691 | -3,557 | -11,837 | -24,899 | -67,583 | -316,573 | -473,081 | -2,216,011 | -6,014,887 | -42,104,209 |
Here are some more numbers to try:
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