Q: What are the factor combinations of the number 244,240,895?

 A:
Positive:   1 x 2442408955 x 4884817941 x 5957095205 x 11914191681 x 1452958405 x 29059
Negative: -1 x -244240895-5 x -48848179-41 x -5957095-205 x -1191419-1681 x -145295-8405 x -29059


How do I find the factor combinations of the number 244,240,895?

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 244,240,895, 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.

1 244,240,895
-1 -244,240,895

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 244,240,895.

Example:
1 x 244,240,895 = 244,240,895
and
-1 x -244,240,895 = 244,240,895
Notice both answers equal 244,240,895

With that explanation out of the way, let's continue. Next, we take the number 244,240,895 and divide it by 2:

244,240,895 ÷ 2 = 122,120,447.5

If the quotient is a whole number, then 2 and 122,120,447.5 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:

1 244,240,895
-1 -244,240,895

Now, we try dividing 244,240,895 by 3:

244,240,895 ÷ 3 = 81,413,631.6667

If the quotient is a whole number, then 3 and 81,413,631.6667 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:

1 244,240,895
-1 -244,240,895

Let's try dividing by 4:

244,240,895 ÷ 4 = 61,060,223.75

If the quotient is a whole number, then 4 and 61,060,223.75 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:

1 244,240,895
-1 244,240,895
Keep dividing by the next highest number until you cannot divide anymore.

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

15412051,6818,40529,059145,2951,191,4195,957,09548,848,179244,240,895
-1-5-41-205-1,681-8,405-29,059-145,295-1,191,419-5,957,095-48,848,179-244,240,895

More Examples

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