Q: What are the factor combinations of the number 2,666,993?

 A:
Positive:   1 x 26669937 x 380999139 x 19187973 x 2741
Negative: -1 x -2666993-7 x -380999-139 x -19187-973 x -2741


How do I find the factor combinations of the number 2,666,993?

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 2,666,993, 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 2,666,993
-1 -2,666,993

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 2,666,993.

Example:
1 x 2,666,993 = 2,666,993
and
-1 x -2,666,993 = 2,666,993
Notice both answers equal 2,666,993

With that explanation out of the way, let's continue. Next, we take the number 2,666,993 and divide it by 2:

2,666,993 ÷ 2 = 1,333,496.5

If the quotient is a whole number, then 2 and 1,333,496.5 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 2,666,993
-1 -2,666,993

Now, we try dividing 2,666,993 by 3:

2,666,993 ÷ 3 = 888,997.6667

If the quotient is a whole number, then 3 and 888,997.6667 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 2,666,993
-1 -2,666,993

Let's try dividing by 4:

2,666,993 ÷ 4 = 666,748.25

If the quotient is a whole number, then 4 and 666,748.25 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 2,666,993
-1 2,666,993
Keep dividing by the next highest number until you cannot divide anymore.

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

171399732,74119,187380,9992,666,993
-1-7-139-973-2,741-19,187-380,999-2,666,993

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,666,993:


Ask a Question