A:
Positive:
1 x 3788522 x 1894263 x 1262844 x 947136 x 6314212 x 31571131 x 2892241 x 1572262 x 1446393 x 964482 x 786524 x 723
Negative:
-1 x -378852-2 x -189426-3 x -126284-4 x -94713-6 x -63142-12 x -31571-131 x -2892-241 x -1572-262 x -1446-393 x -964-482 x -786-524 x -723
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 378,852, 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 | 378,852 | |
| -1 | -378,852 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 378,852.
Example:
1 x 378,852 = 378,852
and
-1 x -378,852 = 378,852
Notice both answers equal 378,852
With that explanation out of the way, let's continue. Next, we take the number 378,852 and divide it by 2:
378,852 ÷ 2 = 189,426
If the quotient is a whole number, then 2 and 189,426 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 189,426 | 378,852 | |
| -1 | -2 | -189,426 | -378,852 |
Now, we try dividing 378,852 by 3:
378,852 ÷ 3 = 126,284
If the quotient is a whole number, then 3 and 126,284 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 126,284 | 189,426 | 378,852 | |
| -1 | -2 | -3 | -126,284 | -189,426 | -378,852 |
Let's try dividing by 4:
378,852 ÷ 4 = 94,713
If the quotient is a whole number, then 4 and 94,713 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 4 | 94,713 | 126,284 | 189,426 | 378,852 | |
| -1 | -2 | -3 | -4 | -94,713 | -126,284 | -189,426 | 378,852 |
If you did it right, you will end up with this table:
| 1 | 2 | 3 | 4 | 6 | 12 | 131 | 241 | 262 | 393 | 482 | 524 | 723 | 786 | 964 | 1,446 | 1,572 | 2,892 | 31,571 | 63,142 | 94,713 | 126,284 | 189,426 | 378,852 |
| -1 | -2 | -3 | -4 | -6 | -12 | -131 | -241 | -262 | -393 | -482 | -524 | -723 | -786 | -964 | -1,446 | -1,572 | -2,892 | -31,571 | -63,142 | -94,713 | -126,284 | -189,426 | -378,852 |
Here are some more numbers to try:
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