Q: What are the factor combinations of the number 386,891?
A:
Positive:
1 x 386891
Negative:
-1 x -386891
A:
Positive:
1 x 386891
Negative:
-1 x -386891
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 386,891, 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 | 386,891 | |
-1 | -386,891 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 386,891.
Example:
1 x 386,891 = 386,891
and
-1 x -386,891 = 386,891
Notice both answers equal 386,891
With that explanation out of the way, let's continue. Next, we take the number 386,891 and divide it by 2:
386,891 ÷ 2 = 193,445.5
If the quotient is a whole number, then 2 and 193,445.5 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 | 386,891 | |
-1 | -386,891 |
Now, we try dividing 386,891 by 3:
386,891 ÷ 3 = 128,963.6667
If the quotient is a whole number, then 3 and 128,963.6667 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 | 386,891 | |
-1 | -386,891 |
Let's try dividing by 4:
386,891 ÷ 4 = 96,722.75
If the quotient is a whole number, then 4 and 96,722.75 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 | 386,891 | |
-1 | 386,891 |
If you did it right, you will end up with this table:
1 | 386,891 |
-1 | -386,891 |
Here are some more numbers to try:
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