A:
Positive:
1 x 4147155 x 829437 x 5924517 x 2439535 x 1184941 x 1011585 x 4879119 x 3485205 x 2023287 x 1445289 x 1435595 x 697
Negative:
-1 x -414715-5 x -82943-7 x -59245-17 x -24395-35 x -11849-41 x -10115-85 x -4879-119 x -3485-205 x -2023-287 x -1445-289 x -1435-595 x -697
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 414,715, 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 | 414,715 | |
| -1 | -414,715 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,715.
Example:
1 x 414,715 = 414,715
and
-1 x -414,715 = 414,715
Notice both answers equal 414,715
With that explanation out of the way, let's continue. Next, we take the number 414,715 and divide it by 2:
414,715 ÷ 2 = 207,357.5
If the quotient is a whole number, then 2 and 207,357.5 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 | 414,715 | |
| -1 | -414,715 |
Now, we try dividing 414,715 by 3:
414,715 ÷ 3 = 138,238.3333
If the quotient is a whole number, then 3 and 138,238.3333 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 | 414,715 | |
| -1 | -414,715 |
Let's try dividing by 4:
414,715 ÷ 4 = 103,678.75
If the quotient is a whole number, then 4 and 103,678.75 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 | 414,715 | |
| -1 | 414,715 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 17 | 35 | 41 | 85 | 119 | 205 | 287 | 289 | 595 | 697 | 1,435 | 1,445 | 2,023 | 3,485 | 4,879 | 10,115 | 11,849 | 24,395 | 59,245 | 82,943 | 414,715 |
| -1 | -5 | -7 | -17 | -35 | -41 | -85 | -119 | -205 | -287 | -289 | -595 | -697 | -1,435 | -1,445 | -2,023 | -3,485 | -4,879 | -10,115 | -11,849 | -24,395 | -59,245 | -82,943 | -414,715 |
Here are some more numbers to try:
Try the factor calculator