Q: What are the factor combinations of the number 244,140,421?

 A:
Positive:   1 x 2441404217 x 34877203251 x 972671283 x 862687491 x 4972311757 x 1389531981 x 1232413437 x 71033
Negative: -1 x -244140421-7 x -34877203-251 x -972671-283 x -862687-491 x -497231-1757 x -138953-1981 x -123241-3437 x -71033


How do I find the factor combinations of the number 244,140,421?

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 244,140,421, 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.

1 244,140,421
-1 -244,140,421

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 244,140,421.

Example:
1 x 244,140,421 = 244,140,421
and
-1 x -244,140,421 = 244,140,421
Notice both answers equal 244,140,421

With that explanation out of the way, let's continue. Next, we take the number 244,140,421 and divide it by 2:

244,140,421 ÷ 2 = 122,070,210.5

If the quotient is a whole number, then 2 and 122,070,210.5 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:

1 244,140,421
-1 -244,140,421

Now, we try dividing 244,140,421 by 3:

244,140,421 ÷ 3 = 81,380,140.3333

If the quotient is a whole number, then 3 and 81,380,140.3333 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:

1 244,140,421
-1 -244,140,421

Let's try dividing by 4:

244,140,421 ÷ 4 = 61,035,105.25

If the quotient is a whole number, then 4 and 61,035,105.25 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:

1 244,140,421
-1 244,140,421
Keep dividing by the next highest number until you cannot divide anymore.

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

172512834911,7571,9813,43771,033123,241138,953497,231862,687972,67134,877,203244,140,421
-1-7-251-283-491-1,757-1,981-3,437-71,033-123,241-138,953-497,231-862,687-972,671-34,877,203-244,140,421

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 244,140,421:


Ask a Question