Q: What are the factor combinations of the number 7,939,021?

 A:
Positive:   1 x 7939021
Negative: -1 x -7939021


How do I find the factor combinations of the number 7,939,021?

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 7,939,021, 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 7,939,021
-1 -7,939,021

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 7,939,021.

Example:
1 x 7,939,021 = 7,939,021
and
-1 x -7,939,021 = 7,939,021
Notice both answers equal 7,939,021

With that explanation out of the way, let's continue. Next, we take the number 7,939,021 and divide it by 2:

7,939,021 ÷ 2 = 3,969,510.5

If the quotient is a whole number, then 2 and 3,969,510.5 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 7,939,021
-1 -7,939,021

Now, we try dividing 7,939,021 by 3:

7,939,021 ÷ 3 = 2,646,340.3333

If the quotient is a whole number, then 3 and 2,646,340.3333 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 7,939,021
-1 -7,939,021

Let's try dividing by 4:

7,939,021 ÷ 4 = 1,984,755.25

If the quotient is a whole number, then 4 and 1,984,755.25 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 7,939,021
-1 7,939,021
Keep dividing by the next highest number until you cannot divide anymore.

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

17,939,021
-1-7,939,021

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,939,021:


Ask a Question