A:
Positive:
1 x 3782355 x 7564711 x 3438513 x 2909523 x 1644555 x 687765 x 5819115 x 3289143 x 2645253 x 1495299 x 1265529 x 715
Negative:
-1 x -378235-5 x -75647-11 x -34385-13 x -29095-23 x -16445-55 x -6877-65 x -5819-115 x -3289-143 x -2645-253 x -1495-299 x -1265-529 x -715
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 378,235, 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 | 378,235 | |
| -1 | -378,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 378,235.
Example:
1 x 378,235 = 378,235
and
-1 x -378,235 = 378,235
Notice both answers equal 378,235
With that explanation out of the way, let's continue. Next, we take the number 378,235 and divide it by 2:
378,235 ÷ 2 = 189,117.5
If the quotient is a whole number, then 2 and 189,117.5 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 | 378,235 | |
| -1 | -378,235 |
Now, we try dividing 378,235 by 3:
378,235 ÷ 3 = 126,078.3333
If the quotient is a whole number, then 3 and 126,078.3333 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 | 378,235 | |
| -1 | -378,235 |
Let's try dividing by 4:
378,235 ÷ 4 = 94,558.75
If the quotient is a whole number, then 4 and 94,558.75 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 | 378,235 | |
| -1 | 378,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 13 | 23 | 55 | 65 | 115 | 143 | 253 | 299 | 529 | 715 | 1,265 | 1,495 | 2,645 | 3,289 | 5,819 | 6,877 | 16,445 | 29,095 | 34,385 | 75,647 | 378,235 |
| -1 | -5 | -11 | -13 | -23 | -55 | -65 | -115 | -143 | -253 | -299 | -529 | -715 | -1,265 | -1,495 | -2,645 | -3,289 | -5,819 | -6,877 | -16,445 | -29,095 | -34,385 | -75,647 | -378,235 |
Here are some more numbers to try:
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