Q: What are the factor combinations of the number 244,400,231?

 A:
Positive:   1 x 24440023123 x 10626097227 x 10766535221 x 46811
Negative: -1 x -244400231-23 x -10626097-227 x -1076653-5221 x -46811


How do I find the factor combinations of the number 244,400,231?

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 244,400,231, 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.

1 244,400,231
-1 -244,400,231

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 244,400,231.

Example:
1 x 244,400,231 = 244,400,231
and
-1 x -244,400,231 = 244,400,231
Notice both answers equal 244,400,231

With that explanation out of the way, let's continue. Next, we take the number 244,400,231 and divide it by 2:

244,400,231 ÷ 2 = 122,200,115.5

If the quotient is a whole number, then 2 and 122,200,115.5 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:

1 244,400,231
-1 -244,400,231

Now, we try dividing 244,400,231 by 3:

244,400,231 ÷ 3 = 81,466,743.6667

If the quotient is a whole number, then 3 and 81,466,743.6667 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:

1 244,400,231
-1 -244,400,231

Let's try dividing by 4:

244,400,231 ÷ 4 = 61,100,057.75

If the quotient is a whole number, then 4 and 61,100,057.75 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:

1 244,400,231
-1 244,400,231
Keep dividing by the next highest number until you cannot divide anymore.

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

1232275,22146,8111,076,65310,626,097244,400,231
-1-23-227-5,221-46,811-1,076,653-10,626,097-244,400,231

More Examples

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