A:
Positive:
1 x 4143420255 x 8286840519 x 2180747525 x 1657368195 x 4361495475 x 872299613 x 6759251423 x 2911753065 x 1351857115 x 5823511647 x 3557515325 x 27037
Negative:
-1 x -414342025-5 x -82868405-19 x -21807475-25 x -16573681-95 x -4361495-475 x -872299-613 x -675925-1423 x -291175-3065 x -135185-7115 x -58235-11647 x -35575-15325 x -27037
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 414,342,025, 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 | 414,342,025 | |
| -1 | -414,342,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 414,342,025.
Example:
1 x 414,342,025 = 414,342,025
and
-1 x -414,342,025 = 414,342,025
Notice both answers equal 414,342,025
With that explanation out of the way, let's continue. Next, we take the number 414,342,025 and divide it by 2:
414,342,025 ÷ 2 = 207,171,012.5
If the quotient is a whole number, then 2 and 207,171,012.5 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 | 414,342,025 | |
| -1 | -414,342,025 |
Now, we try dividing 414,342,025 by 3:
414,342,025 ÷ 3 = 138,114,008.3333
If the quotient is a whole number, then 3 and 138,114,008.3333 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 | 414,342,025 | |
| -1 | -414,342,025 |
Let's try dividing by 4:
414,342,025 ÷ 4 = 103,585,506.25
If the quotient is a whole number, then 4 and 103,585,506.25 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 | 414,342,025 | |
| -1 | 414,342,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 95 | 475 | 613 | 1,423 | 3,065 | 7,115 | 11,647 | 15,325 | 27,037 | 35,575 | 58,235 | 135,185 | 291,175 | 675,925 | 872,299 | 4,361,495 | 16,573,681 | 21,807,475 | 82,868,405 | 414,342,025 |
| -1 | -5 | -19 | -25 | -95 | -475 | -613 | -1,423 | -3,065 | -7,115 | -11,647 | -15,325 | -27,037 | -35,575 | -58,235 | -135,185 | -291,175 | -675,925 | -872,299 | -4,361,495 | -16,573,681 | -21,807,475 | -82,868,405 | -414,342,025 |
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