Q: What are the factor combinations of the number 264,215,849?

 A:
Positive:   1 x 26421584941 x 6444289107 x 2469307229 x 1153781263 x 10046234387 x 602279389 x 2814110783 x 24503
Negative: -1 x -264215849-41 x -6444289-107 x -2469307-229 x -1153781-263 x -1004623-4387 x -60227-9389 x -28141-10783 x -24503


How do I find the factor combinations of the number 264,215,849?

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 264,215,849, 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.

1 264,215,849
-1 -264,215,849

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 264,215,849.

Example:
1 x 264,215,849 = 264,215,849
and
-1 x -264,215,849 = 264,215,849
Notice both answers equal 264,215,849

With that explanation out of the way, let's continue. Next, we take the number 264,215,849 and divide it by 2:

264,215,849 ÷ 2 = 132,107,924.5

If the quotient is a whole number, then 2 and 132,107,924.5 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:

1 264,215,849
-1 -264,215,849

Now, we try dividing 264,215,849 by 3:

264,215,849 ÷ 3 = 88,071,949.6667

If the quotient is a whole number, then 3 and 88,071,949.6667 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:

1 264,215,849
-1 -264,215,849

Let's try dividing by 4:

264,215,849 ÷ 4 = 66,053,962.25

If the quotient is a whole number, then 4 and 66,053,962.25 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:

1 264,215,849
-1 264,215,849
Keep dividing by the next highest number until you cannot divide anymore.

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

1411072292634,3879,38910,78324,50328,14160,2271,004,6231,153,7812,469,3076,444,289264,215,849
-1-41-107-229-263-4,387-9,389-10,783-24,503-28,141-60,227-1,004,623-1,153,781-2,469,307-6,444,289-264,215,849

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