Q: What are the factor combinations of the number 37,707,439?

 A:
Positive:   1 x 377074397 x 538677711 x 342794931 x 121636977 x 489707217 x 173767341 x 1105792387 x 15797
Negative: -1 x -37707439-7 x -5386777-11 x -3427949-31 x -1216369-77 x -489707-217 x -173767-341 x -110579-2387 x -15797


How do I find the factor combinations of the number 37,707,439?

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 37,707,439, 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 37,707,439
-1 -37,707,439

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 37,707,439.

Example:
1 x 37,707,439 = 37,707,439
and
-1 x -37,707,439 = 37,707,439
Notice both answers equal 37,707,439

With that explanation out of the way, let's continue. Next, we take the number 37,707,439 and divide it by 2:

37,707,439 ÷ 2 = 18,853,719.5

If the quotient is a whole number, then 2 and 18,853,719.5 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 37,707,439
-1 -37,707,439

Now, we try dividing 37,707,439 by 3:

37,707,439 ÷ 3 = 12,569,146.3333

If the quotient is a whole number, then 3 and 12,569,146.3333 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 37,707,439
-1 -37,707,439

Let's try dividing by 4:

37,707,439 ÷ 4 = 9,426,859.75

If the quotient is a whole number, then 4 and 9,426,859.75 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 37,707,439
-1 37,707,439
Keep dividing by the next highest number until you cannot divide anymore.

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

171131772173412,38715,797110,579173,767489,7071,216,3693,427,9495,386,77737,707,439
-1-7-11-31-77-217-341-2,387-15,797-110,579-173,767-489,707-1,216,369-3,427,949-5,386,777-37,707,439

More Examples

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