Q: What are the factor combinations of the number 8,425,087?

 A:
Positive:   1 x 842508711 x 76591731 x 271777341 x 24707797 x 10571961 x 8767
Negative: -1 x -8425087-11 x -765917-31 x -271777-341 x -24707-797 x -10571-961 x -8767


How do I find the factor combinations of the number 8,425,087?

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 8,425,087, 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 8,425,087
-1 -8,425,087

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 8,425,087.

Example:
1 x 8,425,087 = 8,425,087
and
-1 x -8,425,087 = 8,425,087
Notice both answers equal 8,425,087

With that explanation out of the way, let's continue. Next, we take the number 8,425,087 and divide it by 2:

8,425,087 ÷ 2 = 4,212,543.5

If the quotient is a whole number, then 2 and 4,212,543.5 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 8,425,087
-1 -8,425,087

Now, we try dividing 8,425,087 by 3:

8,425,087 ÷ 3 = 2,808,362.3333

If the quotient is a whole number, then 3 and 2,808,362.3333 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 8,425,087
-1 -8,425,087

Let's try dividing by 4:

8,425,087 ÷ 4 = 2,106,271.75

If the quotient is a whole number, then 4 and 2,106,271.75 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 8,425,087
-1 8,425,087
Keep dividing by the next highest number until you cannot divide anymore.

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

111313417979618,76710,57124,707271,777765,9178,425,087
-1-11-31-341-797-961-8,767-10,571-24,707-271,777-765,917-8,425,087

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,425,087:


Ask a Question