Q: What are the factor combinations of the number 9,437,339?

 A:
Positive:   1 x 943733941 x 23017943 x 21947353 x 178063101 x 934391763 x 53532173 x 43432279 x 4141
Negative: -1 x -9437339-41 x -230179-43 x -219473-53 x -178063-101 x -93439-1763 x -5353-2173 x -4343-2279 x -4141


How do I find the factor combinations of the number 9,437,339?

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 9,437,339, 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 9,437,339
-1 -9,437,339

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 9,437,339.

Example:
1 x 9,437,339 = 9,437,339
and
-1 x -9,437,339 = 9,437,339
Notice both answers equal 9,437,339

With that explanation out of the way, let's continue. Next, we take the number 9,437,339 and divide it by 2:

9,437,339 ÷ 2 = 4,718,669.5

If the quotient is a whole number, then 2 and 4,718,669.5 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 9,437,339
-1 -9,437,339

Now, we try dividing 9,437,339 by 3:

9,437,339 ÷ 3 = 3,145,779.6667

If the quotient is a whole number, then 3 and 3,145,779.6667 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 9,437,339
-1 -9,437,339

Let's try dividing by 4:

9,437,339 ÷ 4 = 2,359,334.75

If the quotient is a whole number, then 4 and 2,359,334.75 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 9,437,339
-1 9,437,339
Keep dividing by the next highest number until you cannot divide anymore.

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

14143531011,7632,1732,2794,1414,3435,35393,439178,063219,473230,1799,437,339
-1-41-43-53-101-1,763-2,173-2,279-4,141-4,343-5,353-93,439-178,063-219,473-230,179-9,437,339

More Examples

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