Q: What are the factor combinations of the number 4,040,179?

 A:
Positive:   1 x 404017911 x 36728913 x 31078319 x 212641143 x 28253209 x 19331247 x 163571487 x 2717
Negative: -1 x -4040179-11 x -367289-13 x -310783-19 x -212641-143 x -28253-209 x -19331-247 x -16357-1487 x -2717


How do I find the factor combinations of the number 4,040,179?

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 4,040,179, 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 4,040,179
-1 -4,040,179

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 4,040,179.

Example:
1 x 4,040,179 = 4,040,179
and
-1 x -4,040,179 = 4,040,179
Notice both answers equal 4,040,179

With that explanation out of the way, let's continue. Next, we take the number 4,040,179 and divide it by 2:

4,040,179 ÷ 2 = 2,020,089.5

If the quotient is a whole number, then 2 and 2,020,089.5 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 4,040,179
-1 -4,040,179

Now, we try dividing 4,040,179 by 3:

4,040,179 ÷ 3 = 1,346,726.3333

If the quotient is a whole number, then 3 and 1,346,726.3333 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 4,040,179
-1 -4,040,179

Let's try dividing by 4:

4,040,179 ÷ 4 = 1,010,044.75

If the quotient is a whole number, then 4 and 1,010,044.75 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 4,040,179
-1 4,040,179
Keep dividing by the next highest number until you cannot divide anymore.

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

11113191432092471,4872,71716,35719,33128,253212,641310,783367,2894,040,179
-1-11-13-19-143-209-247-1,487-2,717-16,357-19,331-28,253-212,641-310,783-367,289-4,040,179

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,040,179:


Ask a Question