Q: What are the factor combinations of the number 5,877,631?

 A:
Positive:   1 x 587763117 x 34574319 x 30934931 x 189601323 x 18197527 x 11153587 x 10013589 x 9979
Negative: -1 x -5877631-17 x -345743-19 x -309349-31 x -189601-323 x -18197-527 x -11153-587 x -10013-589 x -9979


How do I find the factor combinations of the number 5,877,631?

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 5,877,631, 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 5,877,631
-1 -5,877,631

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 5,877,631.

Example:
1 x 5,877,631 = 5,877,631
and
-1 x -5,877,631 = 5,877,631
Notice both answers equal 5,877,631

With that explanation out of the way, let's continue. Next, we take the number 5,877,631 and divide it by 2:

5,877,631 ÷ 2 = 2,938,815.5

If the quotient is a whole number, then 2 and 2,938,815.5 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 5,877,631
-1 -5,877,631

Now, we try dividing 5,877,631 by 3:

5,877,631 ÷ 3 = 1,959,210.3333

If the quotient is a whole number, then 3 and 1,959,210.3333 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 5,877,631
-1 -5,877,631

Let's try dividing by 4:

5,877,631 ÷ 4 = 1,469,407.75

If the quotient is a whole number, then 4 and 1,469,407.75 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 5,877,631
-1 5,877,631
Keep dividing by the next highest number until you cannot divide anymore.

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

11719313235275875899,97910,01311,15318,197189,601309,349345,7435,877,631
-1-17-19-31-323-527-587-589-9,979-10,013-11,153-18,197-189,601-309,349-345,743-5,877,631

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,877,631:


Ask a Question