Q: What are the factor combinations of the number 250,377,679?

 A:
Positive:   1 x 2503776799833 x 25463
Negative: -1 x -250377679-9833 x -25463


How do I find the factor combinations of the number 250,377,679?

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 250,377,679, 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.

1 250,377,679
-1 -250,377,679

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 250,377,679.

Example:
1 x 250,377,679 = 250,377,679
and
-1 x -250,377,679 = 250,377,679
Notice both answers equal 250,377,679

With that explanation out of the way, let's continue. Next, we take the number 250,377,679 and divide it by 2:

250,377,679 ÷ 2 = 125,188,839.5

If the quotient is a whole number, then 2 and 125,188,839.5 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:

1 250,377,679
-1 -250,377,679

Now, we try dividing 250,377,679 by 3:

250,377,679 ÷ 3 = 83,459,226.3333

If the quotient is a whole number, then 3 and 83,459,226.3333 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:

1 250,377,679
-1 -250,377,679

Let's try dividing by 4:

250,377,679 ÷ 4 = 62,594,419.75

If the quotient is a whole number, then 4 and 62,594,419.75 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:

1 250,377,679
-1 250,377,679
Keep dividing by the next highest number until you cannot divide anymore.

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

19,83325,463250,377,679
-1-9,833-25,463-250,377,679

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 250,377,679:


Ask a Question