A:
Positive:
1 x 174142111 x 15831129 x 6004953 x 32857103 x 16907319 x 5459583 x 29871133 x 1537
Negative:
-1 x -1741421-11 x -158311-29 x -60049-53 x -32857-103 x -16907-319 x -5459-583 x -2987-1133 x -1537
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 1,741,421, 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 | 1,741,421 | |
| -1 | -1,741,421 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,741,421.
Example:
1 x 1,741,421 = 1,741,421
and
-1 x -1,741,421 = 1,741,421
Notice both answers equal 1,741,421
With that explanation out of the way, let's continue. Next, we take the number 1,741,421 and divide it by 2:
1,741,421 ÷ 2 = 870,710.5
If the quotient is a whole number, then 2 and 870,710.5 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 | 1,741,421 | |
| -1 | -1,741,421 |
Now, we try dividing 1,741,421 by 3:
1,741,421 ÷ 3 = 580,473.6667
If the quotient is a whole number, then 3 and 580,473.6667 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 | 1,741,421 | |
| -1 | -1,741,421 |
Let's try dividing by 4:
1,741,421 ÷ 4 = 435,355.25
If the quotient is a whole number, then 4 and 435,355.25 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 | 1,741,421 | |
| -1 | 1,741,421 |
If you did it right, you will end up with this table:
| 1 | 11 | 29 | 53 | 103 | 319 | 583 | 1,133 | 1,537 | 2,987 | 5,459 | 16,907 | 32,857 | 60,049 | 158,311 | 1,741,421 |
| -1 | -11 | -29 | -53 | -103 | -319 | -583 | -1,133 | -1,537 | -2,987 | -5,459 | -16,907 | -32,857 | -60,049 | -158,311 | -1,741,421 |
Here are some more numbers to try:
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