A:
Positive:
1 x 4061230382 x 2030615193 x 1353743466 x 676871739 x 4512478218 x 2256239127 x 1504159454 x 7520797
Negative:
-1 x -406123038-2 x -203061519-3 x -135374346-6 x -67687173-9 x -45124782-18 x -22562391-27 x -15041594-54 x -7520797
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 406,123,038, 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 | 406,123,038 | |
| -1 | -406,123,038 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 406,123,038.
Example:
1 x 406,123,038 = 406,123,038
and
-1 x -406,123,038 = 406,123,038
Notice both answers equal 406,123,038
With that explanation out of the way, let's continue. Next, we take the number 406,123,038 and divide it by 2:
406,123,038 ÷ 2 = 203,061,519
If the quotient is a whole number, then 2 and 203,061,519 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 203,061,519 | 406,123,038 | |
| -1 | -2 | -203,061,519 | -406,123,038 |
Now, we try dividing 406,123,038 by 3:
406,123,038 ÷ 3 = 135,374,346
If the quotient is a whole number, then 3 and 135,374,346 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 135,374,346 | 203,061,519 | 406,123,038 | |
| -1 | -2 | -3 | -135,374,346 | -203,061,519 | -406,123,038 |
Let's try dividing by 4:
406,123,038 ÷ 4 = 101,530,759.5
If the quotient is a whole number, then 4 and 101,530,759.5 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 | 2 | 3 | 135,374,346 | 203,061,519 | 406,123,038 | |
| -1 | -2 | -3 | -135,374,346 | -203,061,519 | 406,123,038 |
If you did it right, you will end up with this table:
| 1 | 2 | 3 | 6 | 9 | 18 | 27 | 54 | 7,520,797 | 15,041,594 | 22,562,391 | 45,124,782 | 67,687,173 | 135,374,346 | 203,061,519 | 406,123,038 |
| -1 | -2 | -3 | -6 | -9 | -18 | -27 | -54 | -7,520,797 | -15,041,594 | -22,562,391 | -45,124,782 | -67,687,173 | -135,374,346 | -203,061,519 | -406,123,038 |
Here are some more numbers to try:
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