Q: What are the factor combinations of the number 244,620,401?

 A:
Positive:   1 x 244620401139 x 1759859631 x 3876712789 x 87709
Negative: -1 x -244620401-139 x -1759859-631 x -387671-2789 x -87709


How do I find the factor combinations of the number 244,620,401?

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 244,620,401, 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.

1 244,620,401
-1 -244,620,401

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 244,620,401.

Example:
1 x 244,620,401 = 244,620,401
and
-1 x -244,620,401 = 244,620,401
Notice both answers equal 244,620,401

With that explanation out of the way, let's continue. Next, we take the number 244,620,401 and divide it by 2:

244,620,401 ÷ 2 = 122,310,200.5

If the quotient is a whole number, then 2 and 122,310,200.5 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:

1 244,620,401
-1 -244,620,401

Now, we try dividing 244,620,401 by 3:

244,620,401 ÷ 3 = 81,540,133.6667

If the quotient is a whole number, then 3 and 81,540,133.6667 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:

1 244,620,401
-1 -244,620,401

Let's try dividing by 4:

244,620,401 ÷ 4 = 61,155,100.25

If the quotient is a whole number, then 4 and 61,155,100.25 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:

1 244,620,401
-1 244,620,401
Keep dividing by the next highest number until you cannot divide anymore.

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

11396312,78987,709387,6711,759,859244,620,401
-1-139-631-2,789-87,709-387,671-1,759,859-244,620,401

More Examples

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