Q: What are the factor combinations of the number 268,562,827?

 A:
Positive:   1 x 26856282713 x 2065867931 x 8663317403 x 666409467 x 5750811427 x 1882016071 x 4423714477 x 18551
Negative: -1 x -268562827-13 x -20658679-31 x -8663317-403 x -666409-467 x -575081-1427 x -188201-6071 x -44237-14477 x -18551


How do I find the factor combinations of the number 268,562,827?

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 268,562,827, 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.

1 268,562,827
-1 -268,562,827

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 268,562,827.

Example:
1 x 268,562,827 = 268,562,827
and
-1 x -268,562,827 = 268,562,827
Notice both answers equal 268,562,827

With that explanation out of the way, let's continue. Next, we take the number 268,562,827 and divide it by 2:

268,562,827 ÷ 2 = 134,281,413.5

If the quotient is a whole number, then 2 and 134,281,413.5 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:

1 268,562,827
-1 -268,562,827

Now, we try dividing 268,562,827 by 3:

268,562,827 ÷ 3 = 89,520,942.3333

If the quotient is a whole number, then 3 and 89,520,942.3333 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:

1 268,562,827
-1 -268,562,827

Let's try dividing by 4:

268,562,827 ÷ 4 = 67,140,706.75

If the quotient is a whole number, then 4 and 67,140,706.75 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:

1 268,562,827
-1 268,562,827
Keep dividing by the next highest number until you cannot divide anymore.

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

113314034671,4276,07114,47718,55144,237188,201575,081666,4098,663,31720,658,679268,562,827
-1-13-31-403-467-1,427-6,071-14,477-18,551-44,237-188,201-575,081-666,409-8,663,317-20,658,679-268,562,827

More Examples

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