Q: What are the factor combinations of the number 939,811?

 A:
Positive:   1 x 93981117 x 5528359 x 15929937 x 1003
Negative: -1 x -939811-17 x -55283-59 x -15929-937 x -1003


How do I find the factor combinations of the number 939,811?

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 939,811, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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.

1 939,811
-1 -939,811

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 939,811.

Example:
1 x 939,811 = 939,811
and
-1 x -939,811 = 939,811
Notice both answers equal 939,811

With that explanation out of the way, let's continue. Next, we take the number 939,811 and divide it by 2:

939,811 ÷ 2 = 469,905.5

If the quotient is a whole number, then 2 and 469,905.5 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:

1 939,811
-1 -939,811

Now, we try dividing 939,811 by 3:

939,811 ÷ 3 = 313,270.3333

If the quotient is a whole number, then 3 and 313,270.3333 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:

1 939,811
-1 -939,811

Let's try dividing by 4:

939,811 ÷ 4 = 234,952.75

If the quotient is a whole number, then 4 and 234,952.75 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:

1 939,811
-1 939,811
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

117599371,00315,92955,283939,811
-1-17-59-937-1,003-15,929-55,283-939,811

More Examples

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