Q: What are the factor combinations of the number 244,407,515?

 A:
Positive:   1 x 2444075155 x 4888150311 x 2221886555 x 4443773643 x 3801053215 x 760216911 x 353657073 x 34555
Negative: -1 x -244407515-5 x -48881503-11 x -22218865-55 x -4443773-643 x -380105-3215 x -76021-6911 x -35365-7073 x -34555


How do I find the factor combinations of the number 244,407,515?

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 244,407,515, 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.

1 244,407,515
-1 -244,407,515

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 244,407,515.

Example:
1 x 244,407,515 = 244,407,515
and
-1 x -244,407,515 = 244,407,515
Notice both answers equal 244,407,515

With that explanation out of the way, let's continue. Next, we take the number 244,407,515 and divide it by 2:

244,407,515 ÷ 2 = 122,203,757.5

If the quotient is a whole number, then 2 and 122,203,757.5 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:

1 244,407,515
-1 -244,407,515

Now, we try dividing 244,407,515 by 3:

244,407,515 ÷ 3 = 81,469,171.6667

If the quotient is a whole number, then 3 and 81,469,171.6667 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:

1 244,407,515
-1 -244,407,515

Let's try dividing by 4:

244,407,515 ÷ 4 = 61,101,878.75

If the quotient is a whole number, then 4 and 61,101,878.75 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:

1 244,407,515
-1 244,407,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556433,2156,9117,07334,55535,36576,021380,1054,443,77322,218,86548,881,503244,407,515
-1-5-11-55-643-3,215-6,911-7,073-34,555-35,365-76,021-380,105-4,443,773-22,218,865-48,881,503-244,407,515

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