Q: What are the factor combinations of the number 3,847,937?

 A:
Positive:   1 x 384793719 x 20252331 x 12412747 x 81871139 x 27683589 x 6533893 x 43091457 x 2641
Negative: -1 x -3847937-19 x -202523-31 x -124127-47 x -81871-139 x -27683-589 x -6533-893 x -4309-1457 x -2641


How do I find the factor combinations of the number 3,847,937?

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 3,847,937, 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 3,847,937
-1 -3,847,937

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 3,847,937.

Example:
1 x 3,847,937 = 3,847,937
and
-1 x -3,847,937 = 3,847,937
Notice both answers equal 3,847,937

With that explanation out of the way, let's continue. Next, we take the number 3,847,937 and divide it by 2:

3,847,937 ÷ 2 = 1,923,968.5

If the quotient is a whole number, then 2 and 1,923,968.5 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 3,847,937
-1 -3,847,937

Now, we try dividing 3,847,937 by 3:

3,847,937 ÷ 3 = 1,282,645.6667

If the quotient is a whole number, then 3 and 1,282,645.6667 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 3,847,937
-1 -3,847,937

Let's try dividing by 4:

3,847,937 ÷ 4 = 961,984.25

If the quotient is a whole number, then 4 and 961,984.25 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 3,847,937
-1 3,847,937
Keep dividing by the next highest number until you cannot divide anymore.

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

11931471395898931,4572,6414,3096,53327,68381,871124,127202,5233,847,937
-1-19-31-47-139-589-893-1,457-2,641-4,309-6,533-27,683-81,871-124,127-202,523-3,847,937

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,847,937:


Ask a Question