A:
Positive:
1 x 4060497 x 5800719 x 2137143 x 944371 x 5719133 x 3053301 x 1349497 x 817
Negative:
-1 x -406049-7 x -58007-19 x -21371-43 x -9443-71 x -5719-133 x -3053-301 x -1349-497 x -817
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 406,049, 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 | 406,049 | |
| -1 | -406,049 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 406,049.
Example:
1 x 406,049 = 406,049
and
-1 x -406,049 = 406,049
Notice both answers equal 406,049
With that explanation out of the way, let's continue. Next, we take the number 406,049 and divide it by 2:
406,049 ÷ 2 = 203,024.5
If the quotient is a whole number, then 2 and 203,024.5 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 | 406,049 | |
| -1 | -406,049 |
Now, we try dividing 406,049 by 3:
406,049 ÷ 3 = 135,349.6667
If the quotient is a whole number, then 3 and 135,349.6667 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 | 406,049 | |
| -1 | -406,049 |
Let's try dividing by 4:
406,049 ÷ 4 = 101,512.25
If the quotient is a whole number, then 4 and 101,512.25 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 | 406,049 | |
| -1 | 406,049 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 43 | 71 | 133 | 301 | 497 | 817 | 1,349 | 3,053 | 5,719 | 9,443 | 21,371 | 58,007 | 406,049 |
| -1 | -7 | -19 | -43 | -71 | -133 | -301 | -497 | -817 | -1,349 | -3,053 | -5,719 | -9,443 | -21,371 | -58,007 | -406,049 |
Here are some more numbers to try:
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