Q: What are the factor combinations of the number 244,050,401?

 A:
Positive:   1 x 2440504017 x 3486434323 x 10610887161 x 1515841
Negative: -1 x -244050401-7 x -34864343-23 x -10610887-161 x -1515841


How do I find the factor combinations of the number 244,050,401?

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 244,050,401, 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.

1 244,050,401
-1 -244,050,401

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 244,050,401.

Example:
1 x 244,050,401 = 244,050,401
and
-1 x -244,050,401 = 244,050,401
Notice both answers equal 244,050,401

With that explanation out of the way, let's continue. Next, we take the number 244,050,401 and divide it by 2:

244,050,401 ÷ 2 = 122,025,200.5

If the quotient is a whole number, then 2 and 122,025,200.5 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:

1 244,050,401
-1 -244,050,401

Now, we try dividing 244,050,401 by 3:

244,050,401 ÷ 3 = 81,350,133.6667

If the quotient is a whole number, then 3 and 81,350,133.6667 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:

1 244,050,401
-1 -244,050,401

Let's try dividing by 4:

244,050,401 ÷ 4 = 61,012,600.25

If the quotient is a whole number, then 4 and 61,012,600.25 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:

1 244,050,401
-1 244,050,401
Keep dividing by the next highest number until you cannot divide anymore.

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

17231611,515,84110,610,88734,864,343244,050,401
-1-7-23-161-1,515,841-10,610,887-34,864,343-244,050,401

More Examples

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