Q: What are the factor combinations of the number 38,004,707?

 A:
Positive:   1 x 3800470713 x 292343917 x 2235571221 x 171967383 x 99229449 x 846434979 x 76335837 x 6511
Negative: -1 x -38004707-13 x -2923439-17 x -2235571-221 x -171967-383 x -99229-449 x -84643-4979 x -7633-5837 x -6511


How do I find the factor combinations of the number 38,004,707?

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 38,004,707, 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 38,004,707
-1 -38,004,707

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 38,004,707.

Example:
1 x 38,004,707 = 38,004,707
and
-1 x -38,004,707 = 38,004,707
Notice both answers equal 38,004,707

With that explanation out of the way, let's continue. Next, we take the number 38,004,707 and divide it by 2:

38,004,707 ÷ 2 = 19,002,353.5

If the quotient is a whole number, then 2 and 19,002,353.5 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 38,004,707
-1 -38,004,707

Now, we try dividing 38,004,707 by 3:

38,004,707 ÷ 3 = 12,668,235.6667

If the quotient is a whole number, then 3 and 12,668,235.6667 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 38,004,707
-1 -38,004,707

Let's try dividing by 4:

38,004,707 ÷ 4 = 9,501,176.75

If the quotient is a whole number, then 4 and 9,501,176.75 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 38,004,707
-1 38,004,707
Keep dividing by the next highest number until you cannot divide anymore.

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

113172213834494,9795,8376,5117,63384,64399,229171,9672,235,5712,923,43938,004,707
-1-13-17-221-383-449-4,979-5,837-6,511-7,633-84,643-99,229-171,967-2,235,571-2,923,439-38,004,707

More Examples

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