Q: What are the factor combinations of the number 250,340,533?

 A:
Positive:   1 x 25034053323 x 1088437171 x 352592383 x 30161511633 x 1533011847 x 1355391909 x 1311375893 x 42481
Negative: -1 x -250340533-23 x -10884371-71 x -3525923-83 x -3016151-1633 x -153301-1847 x -135539-1909 x -131137-5893 x -42481


How do I find the factor combinations of the number 250,340,533?

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 250,340,533, 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.

1 250,340,533
-1 -250,340,533

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 250,340,533.

Example:
1 x 250,340,533 = 250,340,533
and
-1 x -250,340,533 = 250,340,533
Notice both answers equal 250,340,533

With that explanation out of the way, let's continue. Next, we take the number 250,340,533 and divide it by 2:

250,340,533 ÷ 2 = 125,170,266.5

If the quotient is a whole number, then 2 and 125,170,266.5 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:

1 250,340,533
-1 -250,340,533

Now, we try dividing 250,340,533 by 3:

250,340,533 ÷ 3 = 83,446,844.3333

If the quotient is a whole number, then 3 and 83,446,844.3333 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:

1 250,340,533
-1 -250,340,533

Let's try dividing by 4:

250,340,533 ÷ 4 = 62,585,133.25

If the quotient is a whole number, then 4 and 62,585,133.25 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:

1 250,340,533
-1 250,340,533
Keep dividing by the next highest number until you cannot divide anymore.

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

12371831,6331,8471,9095,89342,481131,137135,539153,3013,016,1513,525,92310,884,371250,340,533
-1-23-71-83-1,633-1,847-1,909-5,893-42,481-131,137-135,539-153,301-3,016,151-3,525,923-10,884,371-250,340,533

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 250,340,533:


Ask a Question