Q: What are the factor combinations of the number 244,056,025?

 A:
Positive:   1 x 2440560255 x 4881120525 x 976224129 x 841572531 x 7872775145 x 1683145155 x 1574555725 x 336629775 x 314911899 x 2714754495 x 5429510859 x 22475
Negative: -1 x -244056025-5 x -48811205-25 x -9762241-29 x -8415725-31 x -7872775-145 x -1683145-155 x -1574555-725 x -336629-775 x -314911-899 x -271475-4495 x -54295-10859 x -22475


How do I find the factor combinations of the number 244,056,025?

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 244,056,025, 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.

1 244,056,025
-1 -244,056,025

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 244,056,025.

Example:
1 x 244,056,025 = 244,056,025
and
-1 x -244,056,025 = 244,056,025
Notice both answers equal 244,056,025

With that explanation out of the way, let's continue. Next, we take the number 244,056,025 and divide it by 2:

244,056,025 ÷ 2 = 122,028,012.5

If the quotient is a whole number, then 2 and 122,028,012.5 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:

1 244,056,025
-1 -244,056,025

Now, we try dividing 244,056,025 by 3:

244,056,025 ÷ 3 = 81,352,008.3333

If the quotient is a whole number, then 3 and 81,352,008.3333 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:

1 244,056,025
-1 -244,056,025

Let's try dividing by 4:

244,056,025 ÷ 4 = 61,014,006.25

If the quotient is a whole number, then 4 and 61,014,006.25 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:

1 244,056,025
-1 244,056,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152529311451557257758994,49510,85922,47554,295271,475314,911336,6291,574,5551,683,1457,872,7758,415,7259,762,24148,811,205244,056,025
-1-5-25-29-31-145-155-725-775-899-4,495-10,859-22,475-54,295-271,475-314,911-336,629-1,574,555-1,683,145-7,872,775-8,415,725-9,762,241-48,811,205-244,056,025

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